Volume 3 (2015) Article in Press

ISSUE 3 − A ISSUE 3 − B ISSUE 3 − C
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Article Type : Research Article
Title : (1,2)*-Generalized continuous Map in Fuzzy Bitopological Spaces
Country : India
Authors : P. Saravanaperumal || S. Murugesan

Abstract: In this paper, we introduce (1,2)*-Fuzzy generalized continuous maps and (1,2)*-Fuzzy$\ddot{{g}}$ continuous maps and study their relations with existing generalized (1,2)*-Fuzzy continuous maps.

Keywords: Fuzzy bitopological space,(1,2)*-fuzzy g- continuous maps, (1,2)*-fuzzy$\ddot{{g}}$-continuous maps.

S. Murugesan
Department of Mathematics, Sri.S.R.Naidu Memorial college, Sattur, India.
E-mail: satturmuruges@gmail.com.


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Article Type : Research Article
Title : Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Metric Spaces
Country : India
Authors : R.Muthuraj || R.Pandiselvi

Abstract: In this paper, we prove Common fixed point theorems in intuitionistic generalized fuzzy metric spaces. We also, discuss result related to R-weakly commuting mappings.

Keywords: R-weakly commuting mappings and intuitionstic fuzzy metric spaces, R-weakly commuting mappings of type (P-1) and type (P-2).

R.Pandiselvi
2Department of Mathematics, The Madura college, Madurai, India.
E-mail: rpselvi@gmail.com


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Article Type : Research Article
Title : Semi Smooth Graceful Labeling on Some Graphs
Country : India
Authors : V J Kaneria || Meera Meghpara

Abstract: This paper contains some results on semi smooth graceful graph. We proved that $B_{m,n}$, $S^{'}(B_{m,n})$ and $S^{'}(P_{n})$ are semi smooth graceful and a graph obtained by joining $G$ and $B^{2}_{m,n}$ with an arbitrary path $P_{r}$ is a graceful.

Keywords: Graceful graph, semi smooth graceful graph, bistar graph, square of bistar, path, splitting graph.

Meera Meghpara
Om Engineering College, JUNAGADH, India.
E-mail: meera.meghpara@gmail.com


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Article Type : Research Article
Title : Fundamental Relation on Intuitionistic Fuzzy $\Gamma$-hypermodule
Country : India
Authors : S. Abirami || S. Murugesan

Abstract: In this paper, we introduce and study the fundamental relation on intuitionistic fuzzy $\Gamma$-hypermodule as a generalization of the usual fuzzy $\Gamma$- hypermodule. Examples of fundamental relation on intuitionistic fuzzy $\Gamma$-hypermodule are constructed and some their proposition are proved.

Keywords: Intuitionistic Fuzzy Regular Relation, Intuitionistic Fuzzy Strongly Regular Relation, Fundamental Relation on Intuitionistic Fuzzy $\Gamma$- Hypermodule.

S. Murugesan
Department of Mathematics, Sri S.Ramasamy Naidu Memorial College, Sattur, Tamilnadu, India.
E-mail: satturmuruges@gmail.com


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Article Type : Research Article
Title : Some Relationship Between Matrix Completion Problems
Country : India
Authors : Kalyan Sinha

Abstract: In this paper relationship between the solutions of the matrix completion problems for certain class of matrices is studied. Specifically the similarities and dissimilarities among the class $P_0^{+}$ and its subclasses completion problem are discussed.

Keywords: Partial matrix; Matrix completion; $P_0^{+}$-matrix.

Kalyan Sinha
Department of Mathematics, PSTDS Vidyapith, Chinsurah, Hooghly, West Bengal, India.
E-mail: kalyansinha90@gmail.com


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Article Type : Research Article
Title : Some Generating Relations Involving Laguerre Polynomials of Several Variables
Country : India
Authors : M.I.Qureshi || Deepak Kumar Kabra || Naseem Ahmad Khan

Abstract: The present paper deals with $m$-variable polynomial sets generated by the functions in the form $e^t \phi_1 (x_1 t) \phi_2 (x_2 t)\phi_3(x_3 t)\ldots \phi_m(x_m t)$.Two generating relations are obtained as applications of general theorems associated with multiple series identities.

Keywords: Laguerre polynomials of several variables, Generating function and Generating relation, Multiple series identities, Multi-variable Humbert function.

Deepak Kumar Kabra
Department of Mathematics, Govt. College Kota, University of Kota, Kota, Rajasthan, India.
E-mail: dkabra20@gmail.com


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Article Type : Research Article
Title : Certain Formulas for Jacobi Polynomials of Several Variables
Country : Yemen
Authors : Ahmed Ali Atash || Salem Saleh Barahmah

Abstract: The aim of this research paper is to derive somegenerating functionsof Jacobi polynomials of several variables[4].Manyapplications of our main results lead us to obtain some hypergeometric formulasof Jacobi polynomials of two, three and several variables.Some generating functions (known or new)of Jacobi polynomialshave been obtained as special cases of our main results.

Keywords: Generating functions , Jacobi polynomials,generalizedLauricella function of several variables,hypergeometric functions.

Ahmed Ali Atash
Department of Mathematics, Aden University, Aden, Yemen.
E-mail: ah-a-atash@hotmail.com


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Article Type : Research Article
Title : New Weakly Generalized locally Closed Sets
Country : India
Authors : O. Ravi || L. Rajendran || J. Xavier Adaikalaraj || A. Pandi

Abstract: The aim of this paper is to introduce and study the classes of $g^\#$-locally closed sets, $g^\#$-lc$^\#$ sets and $g^\#$-lc$^{\# \#}$ sets which are weaker forms of the class of locally closed sets. Furthermore the relations with other notions connected with the forms of locally closed sets are investigated.

Keywords: Topological space, g-closed set, $g^\#$-closed set, $g^\#$-lc$^\#$ set, $g^\#$-lc$^{\# \#}$ set.

O. Ravi
Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India.
E-mail: siingam@yahoo.com



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