022105   Xiang D (Mathematics Dep, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, P.R. China, Email: xdajing@hotmail.com) : Condition on semi-simple module to become a reflexive module. Far East J mathl Sci 2006, 23(1), 81-87.

Characterization on semi-simple module to be a reflexive module is given. It is proved that a semi-simple module which can be decomposed finitely becomes reflexive if and only if it is isomorphic to a vector space of dimension n over a division ring.

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022104   Wang P;Liao L (Math Dep, Nanfing Normal Univ, Nanfing, China) : On the growth properties of composite entire and meromorphic functions. J appl mathl Analysis Applic 2006, 2(1), 35-43.

Order and growth of composite entire and meromorphic function has been studied and improved the results respectively obtained by Liao-Yang and Lahiri-Sharma.

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022103   Wang P;Liao L (Mathematics and Statistics Dep, Shang Hai Lixing Commerce Univ, China) : On entire and meromorphic functions that share small functions with their derivatives. J appl mathl Analysis Applic 2006, 2(1), 97-106.

It is shown that if is a non-constant entire function, f and f ^(k) share the small function a≠0, ∞ CM and δ(0, f) <62> 1/2 then f ≡ f^(k). Furthermore, if f is non-constant meromorphic function, f and f ^(k) share the small function a ≠ 0, ∞ CM and 2δ(0, f) + (k + 4) Θ (∞, f) <62> k + 5, then f=f^(k).

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022102   Venkateshappa Y;Siddabasappa;Rudraswamy B (Phys Dep, Bangalore Univ, Bangalore, Email: ananya@rediffmail.com) : Exact solutions of variably inclined rotating MHD flows using transformation techniques. J appl mathl Analysis Applic 2006, 2(1), 13-33.

Solutions for the equations of steady flow in a rotating reference frame of homogeneous incompressible viscous fluids with finite electrical conductivity are obtained by employing magnetograph transformation method. By introducing suitable Legendre transform of magnetic flux function, the basic equations are written interms of this function. Examples for this method are considered and the results for streamlines, magnetic lines, velocities and pressure distribution are obtained and analyzed graphically.

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022101   Vasuki K R;Swamy S R (NO, , ) : New identity for the roger's-Ramanujan continued fraction. J appl mathl Analysis Applic 2006, 2(1), 71-83.

Authors present a new identity providing relation between Rogers-Ramanujan continued fraction R(q) and the continued fraction R(q⁷). In the process, they give alternate proof of a P-Q modular equation recorded by. _ Ramanujan on page 55 of his lost notebook. Previously, this identity was proved by Berndt by using the theory of modular forms.

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022100   Uthayakumar R;Parvathi P (Mathematics Dep, Gandhigram Rural Institute, Gandhigram-624 302, Email: uthayakavi@rediff.com) : Deterministic inventory model for deteriorating items with time-dependent demand, backlogged partially when delay in payments is permissibele. Int J mathl Sci 2006, 5(2), 201-19.

Authors investigate a deterministic inventory model for deteriorating items with time dependent demand and shortages, delay in payments is permissible. Besides shortages are partially backlogged on the assumption that backlogging rate varies inversely as the waiting time for the next replenishment. Replenishment cycle length, the time at which shortage begins and the average total inventory cost are taken as decision variables. Numerical examples are given for illustrating the model.

5 tables, 23 ref

022099   Tiwari A K;Tiwari B;Tiwari R (Mathematics Dep, Visvesvaraya National Institute of Technology, Nagpur-440 011) : Abstract mathematical idea equivalence relation and their applications. Math Educ 2006, 40(1), 14-19.

Aim of this paper is to obtain some abstract mathematical results. Used the concept of equivalence to define T multiplication of rational numbers. Authors define Tiwaris matrices and give their some important and interesting properties. Authors introduce the concept of image matrix. Finally Authors give order property in a subset of complex numbers.

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022098   Thengane K D (R S Bidkar Arts, Commerce and Science College, Hnganghat-442 301) : Existence of [z-1/√3(t₁+t₂+t₃)] - type and [(t₁+t₂+t₃)/z√3] - type plane wave in V₅ for bimetric relativity. Math Educ 2006, 40(1), 27-8.

Bimetric theory of relativity proposed by Rosen (1973, 74) admits [z-1/√3(t₁+t₂+t₃)]-type and [(t₁+t₂+t₃)/z√3]-type plane gravitational waves in five dimensional space-times V₅ having three time axes where in the later case the space-times can be reduced to conformal one.

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022097   Thangavelu P;Maheswari J (Mathematics Dep, Aditanar College, Tiruchendur-628 216) : Totally irresolute function. Math Educ 2006, 40(1), 7-13.

Purpose of this paper is to introduce totally irresolute functions and investigate the relationship with other functions in topology.

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022096   Thangavel K;Ashok Kumar D (Computer Science Dep, Periyar University, Salen-636011,Taminadu, Email: drktvelu@yahoo.com ) : A novel K-CSD large data clusering algorithm. Int J mathl Sci 2006, 5(2), 391-402.

Clustering problem has been widely studied since it arises in many knowledge management oriented applications. It aims at identifying the distribution of patterns and intrinsic correlations in data sets by partitioning the data points into similarity clusters. Traditional clustering algorithm use distance functions to measure similarity centroid, which subside the influences of data points. Proposes a novel non-distance based clustering algorithm, which uses Combined Standard Deviation (CSD) as measure of similarity. The performance of K-CSD clustering algorithm is tested on synthetic and real data sets and it compare aorably to widely used K-means clustering algorithm.

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022095   Thakur C;Singh T P (NO, , ) : Geometrization of magneto-hydrostatic equilibria. Bull Calcutta Mathl Soc 2007, 99(1), 79-8.

A geometrical study of magneto-hydrostatic equilibria is made with the condition curl J = O(J ≠O). It is shown that the field lines are circular helices and the Lorentz surfaces are concentric cylinders when the magnetic field magnitude, while not spatially constant, bears a constant value on the Lorentz surfaces.

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022094   Sunita Rani;Neeru Bala (Mathematics Dep, Guru Jambheshwar Univ, Hisar-125 001, Email: s_b_rani@rediffmail.com) : 2-D deformation of two welded half-spaces due to a blind dip-slip fault. J Earth Syst Sci 2006, 115(3), 277-87.

The solution of two-dimensional problem of an interface breaking long inclined dip-slip fault in two welded half-spaces is well known. The purpose of this note is to obtain the corresponding solution for a blind fault. The solution is valid for arbitrary values of the fault-depth and the. dip angle. Graphs showing the variation of the displacement field with the distance from the fault, for different values of fault depth and dip angle are presented. Contour maps showing the stress field around a long dip-slip fault are also obtained.

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022093   Sreekumar M;Nagarajan T;singaperumal M;Zoppi M;Molfino r (Precision Engineering and Instrumentation Laboratoy, Department of Mec, Indian Institute of technology, Madras, Chennai-600 036, Email: msingam@iitm.ac.in) : Training of a fuzzy logic controller using table lookup scheme for the control of sma actuators. Int J mathl Sci 2006, 5(2), 335-53.

The behavior of shape Memory Alloy (SMA) actuators is based on the transformation of its martensite and austenite phases. The SMA actuation, which depends on heating and cooling process is a non-linear phenomenon and depends on various interrelated factors. Fuzzy logic systems are qualified as models of general nonlinear systems as they are capable of approximating a wide variety of nonlinear functions. Hence the objective of this paper is to realize a trained fuzzy logic controller that reduces the number of fuzzy rules using table look-up scheme for the control of SMA actuators. As the SMA actuation is dependent upon the amount of heat that is added and removed, its heat transfer analysis is presented first. The outcome of the same is considered as the basis for the design of the training algorithm. Simulation has been carried out using MATLAB.

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022092   Spearman B K; (Mathematics and Statistics Dep, University of British Columbia Okanagan, Kelowna, B C Canada V1V 1V7, Email: blair.spearman@ubc.bc.ca) : Cyclic quartic fields with a unique normal integral basis. Far East J mathl Sci 2006, 21(2), 235-40.

Cyclic quartic fields possessing a unique normal integral basis are characterized and the normal integral basis is given explicitly.

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022091   Song F G (College of Science, Shenzhen University, Shenzhen 518060, P R China, Email: songfgao@szu.edu.cn) : Ethereal sieve method for the Goldbach Conjecture. Far East J mathl Sci 2006, 21(2), 223-34.

Introduces a new method, called the ethereal sieve method, that calculated the total number of integers with prime factors not less than a certain value by sifting out all those integers with small prime divisors. This method can be used in combination with algebraic techniques and the method of "separation of variables' to solve both the Goldback conjecture and the problem of twin primes and an accurate first approximation to the answers of these problems can be obtained.

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022090   Singh S P (Mathematics Dep, T D P G College, Jaunpur-222 002) : Certain transformation and summation formulae for bi-basic hypergeometric series. Proc Natn Acad Sci India-Sect A 2006, 76(Pt 4), 297-303.

Making use of some identities and certain known summations, an attempt has been made to establish certain transformations and summations for bi-basic hypergeometric series.

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022089   Singh S L;Singh A M (NO, Gurukula Kangri Vishwavidyalaya, Hardwar) : Convergence of sequences of nonlinear hybrid contraction and stability of coincidence value. Proc Natn Acad Sci India-Sect A 2006, 76(Pt 4), 345-8.

Let S_n ; T_n : X → CB (X), n = 1, 2,..., where X is a metric space and CB(X) stands for the collection of all nonempty closed bounded subsets of X. Let S_n, T_n converge pointwise to S, T : X → CB(X), and z_n ∈ S_n z_n ∩ T_n z_n, n = 1, 2,... Now the question arises whether the sequence (z_n) will converge to a common fixed point of S and T. The purpose of this paper is to investigate this aspect on a more general setting. Some results of Bose and Mukherjee. Kaneko and others are discussed as special cases.

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022088   Shi Yixia (Mathematics Dep, Zhanjiang Normal College Zhanjiang, Guangdong-524 048 P R China) : Existence for periodic solution of second-order system. Far East J mathl Sci 2006, 21(3), 379-85.

In this paper, by using the saddle point theorem in Critical Point Theory, the existence theorems are obtained for periodic solutions of a class of nonautonomous second-order systems with a potential which is a sub-quadratic function.

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022087   Shatery H R;Mirbod M (Mathematics Dep, Isfahan Univ, Isfahan-81745 163, Iran, Email: shatery@math ui ac ir) : R-linear homomorphisms between baire classes. Far East J mathl Sci 2006, 21(3), 293-301.

Aim of this note is to prove that any multiplicative R -linear operator between complex valued Baire-α classes, defined on two perfectly normal topological spaces, is characterized by a C -linear between them.

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022086   Shatanawi W;Khandaqji M (Mathematics Dep, The Hashemite University, Zarqa, Jordan, Email: swasfi@hu.edu.jo) : Fullyλ(P)-base in a complete nuclear space. Far East J mathl Sci 2006, 23(1), 41-51.

Defined a fully λ(P) - G and type λ(P) - G. Also, proved that if X is a complete nuclear space with fully λ(P) -base which is of type λ(P) - G or of type λ(P) - G, then all fully λ(P) -bases are quasisimilar.

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022085   Sharma K P (Mathematics Dep, Jawaharlal Nehru Rajkiya Mahavidyalaya, Port Blair-744 104) : On characterisation of imperfect group. Math Educ 2006, 40(1), 29-31.

R.G. Swan showed that all groups are not efficient by illustrating it with examples of inefficient groups (1). Our main purpose here is to investigate, the criteria for the efficient of direct products of imperfect groups (2).

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022084   Sen B K;Chongdar A K (Mathematics Dep, Bangabasi College 19, R.K. Chakraborty Sarani Kolkata-700 009) : An extension of bilateral generating functions of gegenbauer polynomials. Bull Calcutta Mathl Soc 2007, 99(1), 1-4.

A result on a class of bilateral generating relations of Gegenbauer Polynomials has been extended to a more general class of generating relations from the group-theoretic view point.

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022083   Sato I (Oyama National College of Technology, , Oyama, Tochigi 323-0806, Japan, Email: isato@oyama-ct.ac.jp) : Spectra of line graphs of semiregular bipartite graphs. Far East J mathl Sci 2006, 23(1), 137-44.

All eigenvalues of the line graph of a semiregular bipartite graph G by using those of G has been given. As a corollary, author gives the complexity of the line graph of a complete bipartite graph.

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022082   Sana S;Chaudhuri K S (Mathematics Dep, Jadavpur Univ, Kolkata-700 032) : On a volume flexible stock-dependent inventory model. Proc Natn Acad Sci India-Sect A 2006, 76(Pt 4), 309-15.

An inventory model of a volume flexible manufacturing system for a deteriorating item is developed, taking a stock-dependent demand rate. It is assumed that the demand rate remains stock-dependent for an initial period after which a uniform demand rate follows as the stock comes down to a certain level. The unit production cost is taken to be a function of the finite production rate which is treated to be a decision variable. The mathematical expression for the average profit function is derived and it is maximized subject to the different constraints of the system using Zoutendijk's method of constrained optimization, the algorithm of which is given. The solution procedure is illustrated with the help of a numerical example. Using the result of the example, sensitivity of the near optimal solution to changes in the values of the parameters of the system is analyzed.

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022081   Saad A (Department deMathematiques, Universite Ferhat Abbas, 19000 Setif, Algerie) : Formes de contact invariantes. Far East J mathl Sci 2006, 21(2), 163-80.

Let M be a manifold of (2p + 1) dimension with a contact form ω. The Lie algebra A(ω) of infinitesimal automorphism of ω is of infinite dimension. Author studied the sub-algebra of A(ω) of finite dimension.

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022080   Ray A K (Mathematics Dep, Jadavpur Univ, (Retd), Kolkata-700 032) : A hyperbola and an important circle in tandem. Math Educ 2006, 40(1), 32-5.

022079   Ramasubramanan S (Statistics and Mathematics Unit, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore-560 059, Email: ram@isibong.ac.in) : On a stochastic model in insurance. Resonance 2006, 11(10), 49-68.

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022078   Rai P (Mathematics Dep, Amity School of Engineering, Amity Univ, Noida) : Certain bilateral transformation and Rogers-Ramanujan type of identities. Proc Natn Acad Sci India-Sect A 2006, 76(Pt 4), 321-9.

Bilateral extension of the results of Verma and Jain have been carried out and thereby Rogers - Ramanujan type of identities for different moduli are found.

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022077   Pujar S S;Bhati S M (Mathematics Dep, SRES College of Engineering, Kopargaon-423 603, Email: satishbhatil@rediffmail.com) : Riemannian manifolds admitting a conformal transformation group. Bull Calcutta Mathl Soc 2007, 99(1), 65-78.

Considers the n-dimensional (n <62> 2) compact and orientable Riemannian manifold M admitting a conformal transformation X in M satisfying (2.1). The main purpose of the paper is to obtain the integral formulas in Riemannian manifold and use them as powerful tool to describe the global results. Obtains some conditions in terms of integral formula for M to be isometric to a sphere without putting restrictions on the scalar curvature of M. Also, studies conditions for M (n <62> 3) to be conformally flat and generalized some of the results of Yano and Sawaki.

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022076   Prasad C S;Chauhan P K S (NO, , ) : Conformal infinitesimal transformations in an almost para r-contact structure manifold. Bull Calcutta Mathl Soc 2007, 99(1), 89-94.

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022075   Park W G (Department of Information and Communication Engineering, Tongmyong University, Busan 608-711, South Korea, Email: wgpark@tu.ac.kr) : Note on the definitions of a ring with unity and a unitary module. Far East J mathl Sci 2006, 23(1), 1-16.

Modied formally the definition of a ring with unity to define a "pre-ring" that is based on a commutative monoid, which gives a generalization of a ring in a sense. Also defined a "pre-module" over a commutative pre-ring to be consistent with the definition of a pre-ring. Presented some properties relating to the pre-ring and the pre-module.

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022074   Park J S;Han C W; (Mathematics Education Dep, Chinju National University of Education, Jinju 660-756, Korea, Email: parkjs@cue.ac.kr) : Some properties of fuzzy numbers on R<. Far East J mathl Sci 2006, 21(2), 143-52.

Defined the fuzzy numbers in Rⁿ and describe the four arithmetical operation. Algebraic structure of fuzzy numbers in Rⁿ has also been found.

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022073   Pant R P (Mathematics Dep, Kumaon Univ, D.S.B. Campus Nainital-263 002) : Fixed points of nonexpansive mappings and a generalized notion of compactness. Bull Calcutta Mathl Soc 2007, 99(1), 45-52.

Obtains fixed point theorems for nonexpansive mappings by employing the notion of (E.A.) property and to provide an extension of the definition of (E.A.) property. Also introduces the concept of linearly convex spaces, obtains a generalization of Bolzano-Weierstrass theorem and proved a fixed point theorem for nonexpansive mappings in a linearly convex space.

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022072   Padmavathamma;Raghavendra R;Chandrashekara B M (Math Stud Dep, Mysore Univ, Manasagangotri, Mysore-570 006, Email: padmavathamma@yahoo.com) : New bijective proof of a partition theorem of Ramanujan. J appl mathl Analysis Applic 2006, 2(1), 45-50.

Theorem " the number of partitions of n with unique smallest part and largest part at most twice the smallest part equals the number of partitions of n in which the largest part is odd and the smallest part is larger than half the largest part " was stated by Ramanujan in his last letter to Hardy. This was proved by both Watson and Andrews. Authors give a new bijective proof of this result.

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022071   Ozbakir O B;Guler A C (Mathematics Dep, Ege University, 35100 Bornova, Izmir, Turkey, Email: oya.ozbakir@ege.edu.tr) : On generalized fuzzy semi-preclosed sets in fuzzy topological spaces. Far East J mathl Sci 2006, 21(2), 211-22.

Authors define and study various generalized fuzzy sets. In the light of these sets authors also introduce and study some generalizations of fuzzy continuity of functions, generalized fuzzy semi-pre T_1/2 -spaces and decomposition of fuzzy regular-continuity.

022070   Navlekar A A;Khobragade N W (Mathematics Dep, MJP Educational Campus RTM Nagpur Univ, Nagpur-440 033) : Thermoelastic problem on upper plane surface of a thin circular plate. Bull Calcutta Mathl Soc 2007, 99(1), 27-36.

Deals with the direct steady-state and transient thermoelastic problem in which temperature, displacement and stress functions of a thin circular plate are determined. The finite Hankel transform and Laplace transform techniques are used.

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022069   Najafzadeh ;Kulkarni S R;Lokesha V (Math Dep, Fergusson Coll, Pune Univ, Pune-411 004, Email: Njafzadeh1234@yahoo.ie ) : Univalent holomorphic funtions with negative coefficients by using generalized fractional derivative. J appl mathl Analysis Applic 2006, 2(1), 85-96.

Subclass of univalent holomorphic functions with negative coeficients involving generalized fractional derivative is introduced. Also some properties of this class are proved e.g. coefficient estimates, Hadamard product, weighted and arithmetic mean and integral operators.

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022068   Moukamba F;Nkasa Y (Departement de Mathematiques, Faculte des Sciences, Universite Marien Ngouabi, B.P. 69 Brazzaville, Republique du congo) : Traces of anisotropically approximately differentiable mappings on measurable. Far East J mathl Sci 2006, 23(1), 29-39.

Proved that anisotropically approximately differentiable mappings are measurable mappings whose restrictions on a special system of compact sets coincide with the traces of anisotropically differentiable functions.

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022067   Mojdeh D A;Nejad M M (Mathematics Dep, Mazandaran Univ, P O Box 47416-1467 Babolsar, Iran, Email: dmojdeh@umz ac ir) : Maximum matching and defining number of the vertex graph colorings. Far East J mathl Sci 2006, 21(3), 241-9.

How does the defining numbers change for a class of the graphs while some of their maximum matchings are deleted? Let Mⁱ be i maximum matchings of K_2n+1 and K_2n+1⁽ⁱ⁾ = K_2n+1Mⁱ. Authors investigate the defining numbers d(K_2n+1⁽¹⁾,c) and d(K_2n+1⁽²⁾, c), where c ≥ n + 1.

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022066   Merouani B;Boutechebak S (Mathematics Dep, Faculty of Sciences, University of Farhat Abbas, Setif, 19000, Algeria) : Variational study of a frictionless contact problem for nonlinear elastic bodies. Far East J mathl Sci 2006, 21(2), 181-95.

The subject of this work is the study of the contact without friction between an elastic nonlinear body and a rigid foundation under conditions which generalise the work of Teniou [Etude fonctionnelle des problemes elasto-visco-plastiques, These de Doctorat d'Etat en Mathematiques Appliquees, 2000] and Drabla [Analyse variationnelle de quelques problemes aux limites en elasticite et en viscoplasticite, These de Doctorat d'Etat en Mathematiques Appliquees, 1999]. At first, Presented variational formulation for this problem, and then obtain existence and uniqueness results. The second section deals with the study of some properties of the solution, where author proved the dependence of the solution by the parameter θ. Finally, introduced a penalized mechanical problem.

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022065   Mehmood A B;Shah S U A;Shabbir G (Engng Sci Fac, Glk Inst Engng Sci Technol, , Topi, Swabi, NWFP, Pakistan, Email: shabbir@giki.edu.pk) : Generalized approach for computing the trajectories associated with the Newtonian n body problem. J appl mathl Analysis Applic 2006, 2(1), 1-12.

The Classical Newtonian problem of describing the free motions of N gravitating bodies which form an isolated system in free space has been considered. It is well known from the Poincare's Dictum that the problem is not exactly solvable. Sets of N body systems composed of masses having spherical symmetry, appropriate angular velocities (<60> 1 rad/s) and bounded position vectors are examined. A procedure has been developed which yields expressions approximately defining the trajectories executed by the masses.

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022064   Mamta D;Somashekara D D (Mathematics Dep, The National Institute of Engineering, Mysore-570 008, Email: mathsmamta@yahoo.com) : On some continued fraction expansions for the ratios of ₂ψ₂. Far East J mathl Sci 2006, 23(1), 65-80.

Obtained three continued fraction expansions for the ratios of the basic bilateral series ₂ψ₂ with some of its contiguous functions. Also obtained several interesting special cases. Some of these special cases are analogues to the continued fraction identities stated by Ramanujan in his lost notebook.

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022063   Maiti P K (NO, , ) : On mixed trilateral generating functions. Bull Calcutta Mathl Soc 2007, 99(1), 21-6.

Obtains extension of the result obtained by A. Saha (2001) in connection with the unification of a class of mixed trilateral generating functions for certain special functions by group theoretic method. A number of interesting results have been obtained in course of application of result on various special functions.

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022062   Lee C H;Jung J H;Jeong N K (Mathematics Dep, Seonam Univ, Namwon-590 711, Korea, Email: chlee@seonam ac kr) : Certain formulas for the series 3F2 with unit argument. Far East J mathl Sci 2006, 21(3), 331-9.

Aim of this work is to derive the sum of certain classes of generalized hypergeometric series of unit argument. Summation formulas, contiguous to Watson's, Whipple's and Lavoie's theorems in the theory of generalized hypergeometric series, are obtained. Certain limiting cases of these results are given.

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022061   Kuldeep Kumar;Rajesh Kumar (NO, , ) : Rotation of a fibre reinforced circular cylindrical dielectric tube. Bull Calcutta Mathl Soc 2007, 99(1), 53-64.

An exact solution to the problem of rotation of a fibre reinforced circular cylindrical dielectric tube, carrying a surface charge at its inner surface, is obtained. It was that the polarization in case of ordinary elastic dielectric material does not affect the applied moment and the longitudinal force, but in the case of self-reinforced elastic dielectric it increases the moment and the longitudinal force and reduces the radial pressure considerably, meaning thereby that polarization further strengthens the material.

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022060   Krishnan K;Elango C (Mathematical Science Dep, Cardamom Planters' Association College, Madurai Kamaraj University, , Email: atapsk@yahoo.com) : Analysis and optimization of multi-level inventory control system. Int J mathl Sci 2006, 5(2), 403-12.

Continuous review inventory control system of single item at single location has been considered by many researchers in the last two decades. This has been extended this to Multilevel system. The demand occurs at lower echelon is assumed to be Poisson and exponentially distributed lead times. Demands occurring during stock out periods are assumed to be lost. The items are supplied to the retailers in packs of Q₁(=S-s) items from the distribution center 1. The distribution center 1 replenish their stocks from distribution center 2 which has an instantaneous replenishment facilities from an abundant supply source. The transient and steady stat probability distribution and the operating characteristics are obtained explicitly. The exact system performance measures in the steady state conditions are obtained.

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022059   Katore S D;Thakare S V;Belsare N G;Waghmare R V (Mathematics P G Dep, Rajsthan Aryan Mahavidyalaya, Washim-444 505, Email: sd_katore@rediffmail com) : Higher dimensional bianchi type VIo cosmological model in bimetric theory of gravitation. Math Educ 2006, 40(1), 40-6.

It is shown that five dimensional anisotropic spatially homogeneous Bianchi type VI cosmological model do not exist in Rosen's (1973) bimetric theory of relativity when the source of gravitation is governed by either perfect fluid or mesonic perfect fluid. Hence only a vacuum model is constructed.

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022058   Jain R K;Verma J K (NO, Dr. H.S. Gour University, C-62, University Campus, Sagar-470 003) : Some results on fixed points in T-orbitally complete space. Math Educ 2006, 40(1), 20-8.

Some results on fixed points are obtained in a T-orbitally complete metric space and in a compact metric space.

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022057   Im Y B (Mathematics Dep, Seonam Univ, Namwon, Chonbuk-590 711, Korea, Email: young@seonam ac kr) : Fuzzy gama-open sets and gama-irresolute open mappings. Far East J mathl Sci 0000, 21(3), 2006.

Characteristic properties of fuzzy γ-irresolute open mappings on fuzzy topological spaces were studied.

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022056   Huang J C (NO, Center for General Education, Northern Taiwan Institute of Science and, Taipei, taiwan, 11202, R O C, Email: juichi@ntist edu tw) : Almost stability of iterative procedures for the infinite mappings of univormly lipschitzian and asymptotically nonexpansive in the intermediate sense. Far East J mathl Sci 2006, 21(3), 269-84.

Purpose of this paper is to study the convergence and almost stable iteration schemes for the sets of infinite certain mappings which one is a class of asymptotically nonexpansive in the intermediate sense mappings with one member of strongly successively pseudocontractive and the other is a class of uniformly Lipschitzian mappings with one member of strongly successively pseudocontractive. Two almost stable convergence theorems are obtained.

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