Issue 3 Volume 5 (2017)

ISSUE 3 − A ISSUE 3 − B ISSUE 3 − C
Authors : B.Anandh and R.Arimalar
Title : Intuitionistic Fuzzy Meet Semi Bi-filter
Volume, Issue, Year : 5(3−C)(2017)
Pages : 209−213

Abstract: This paper contained the concept of intuitionistic fuzzy meet semi bi-ideal is defined. Discuss some theorems on intuitionistic fuzzy meet semi bi-ideal.

Keywords: Bi-ideal, Intuitionistic fuzzy meet semi bi-ideal, intuitionistic fuzzy set.


Authors : J.M.Rassias, M.J.Rassias, M.Arunkumar and E.Sathya
Title : $\alpha-$Cubic and $\beta-$Cubic Functional Equations
Volume, Issue, Year : 5(3−C)(2017)
Pages : 215−231

Abstract: In this paper, we established the general solution and generalized Ulam - Hyers stability of $\alpha-$cubic functional equation $2[\alpha f (w - \alpha z) + f (\alpha w + z)] = \alpha(\alpha^2 + 1)[ f (w + z) + f (w - z)] - 2(\alpha^4 - 1) f (z)$, where $\alpha \ne 0, \pm 1$ and $\beta-$cubic functional equation $\beta f (w + \beta z) - f(\beta w + z) - [ \beta f (w - \beta z) -f(\beta w - z) ] = 2 ( \beta ^ 4 -1 )f(z)$, where $\beta \ne 0, \pm 1$ in Banach Space using direct and fixed point methods.

Keywords: Cubic functional equations, generalized Ulam - Hyers stability, Banach space, fixed point.


Authors : J.Prakashmanimaran, B.Chellappa and M.Jeyakumar
Title : Properties of Anti \textit{T}--Fuzzy Ideal of $\ell-$Ring
Volume, Issue, Year : 5(3−C)(2017)
Pages : 233−239

Abstract: In this paper, we made an attempt to study the properties of anti $T-$fuzzy ideal of $\ell-$ring and we introduce some definitions and theorems in join, union, join of a family and the union of a family of anti $T-$fuzzy ideal of $\ell-$ring.

Keywords: Fuzzy subset, $T-$fuzzy ideal, anti $T-$ fuzzy ideal, join of anti $T-$fuzzy ideal, union of anti $T-$fuzzy ideal, join of a family anti $T-$fuzzy ideal and the union of a family of anti $T-$fuzzy ideal.


Authors : Silviya Francis and V.Balaji
Title : Non Existence of Skolem Mean Labeling for Eight Star Graph
Volume, Issue, Year : 5(3−C)(2017)
Pages : 241−248

Abstract: In this paper, we prove if $\ell\leq m < n$, the eight star $G=K_{1,\ell} \cup K_{1,\ell} \cup K_{1,\ell} \cup K_{1,\ell} \cup K_{1,\ell} \cup K_{1,\ell} \cup K_{1,m} \cup K_{1,n} $ is not a skolem mean graph if $\left|m - n\right| > 4 + 6\ell$ for $\ell=2, 3, . . .$ ; $m=2, 3, . . .$.

Keywords: Skolem Mean graph, Star, Eight Star Graph.


Authors : Pablo I. Pucheta
Title : A New Extended Mittag-Leffler Function
Volume, Issue, Year : 5(3−C)(2017)
Pages : 249−254

Abstract: The main objective of this paper is defined a new extended Mittag-Leffler function using the modified extended classical Beta function due to Pucheta (see \cite{8}). We will study some basic properties and evaluate Mellin transform.

Keywords: Modified extended beta function, Fractional Calculus, Mellin Transform, Extended Mittag-Leffler function.


Authors : Pablo I. Pucheta
Title : An New Extended Beta Function
Volume, Issue, Year : 5(3−C)(2017)
Pages : 255−260

Abstract: In this paper, we will present a new and modified extended classical Gamma, Beta functions. Some properties basic are studied, such as the integral representations, functional relations and we will evaluate the action of the Mellin transform of the new modified extended Beta function.

Keywords: Extended Beta, Gamma functions, Mittag-Leffler function, Mellin Transform.


Authors : Arslan Hojat Ansari, R.Krishnakumar and D.Dhamodharan
Title : Cone $\mathcal{C}$-class Function on New Contractive Conditions of Integral Type on Complete Cone $S $-metric Spaces
Volume, Issue, Year : 5(3−C)(2017)
Pages : 261−275

Abstract: In this paper, we generalised the concept of a new contractive conditions of integral type on complete cone $S$-metric spaces via cone $C$-class function.

Keywords: Integral-type contractive conditions, Fixed point,Cone $S$-metric, $C$-class function.


Authors : U.C. Gairola and D. Khantwal
Title : Suzuki Type Fixed Point Theorems in $S$-metric Space
Volume, Issue, Year : 5(3−C)(2017)
Pages : 277−289

Abstract: Inspired by the work of Suzuki \cite{Suzuki2008} and Sedghi et al. \cite{sedghi2012}, we proved some Suzuki-type fixed point theorems in $S$-metric space which generalized the result of Sedghi et al. \cite{sedghi2012} and Edelstein \cite{Edelstein1962}. Our first theorem also characterizes the completeness of $S$-metric space. Moreover, we gave an application for a certain class of functional equations arising in Dynamical programming and some examples to illustrate our results.

Keywords: Fixed point, Suzuki contraction, $S$-metric space, Functional equation.


Authors : N. U. Khan, M. M. Eltikali, T. M. Elfrgani and A. Paul
Title : Some Identities Relating Euler Type Integrals And Certain Polynomials
Volume, Issue, Year : 5(3−C)(2017)
Pages : 291−295

Abstract: In this paper, we establish new results involving Euler type integral by making use of some known integrals. On an account of the general nature of the functions involved, we obtained certain new integrals follows as a pplications of the main result involving Laguerre, Jacobi, Hermite, Gegenbauer and Chebyshev polynomials.

Keywords: Euler integral, exponantial function and polynomials.


Authors : K. Ramesh, B. Suguna Selvarani and B. Maheswari
Title : $\widehat{\boldsymbol{\beta}}g$ Closed Set in Intuitionistic Fuzzy Topological Spaces
Volume, Issue, Year : 5(3−C)(2017)
Pages : 297−303

Abstract: The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy $\widehat{\beta }\ $generalized closed set and intuitionistic fuzzy $\widehat{\beta }$ generalized open set in intuitionistic fuzzy topological space. We investigate some of their properties. Also we study the application of intuitionistic fuzzy $\widehat{\beta }$ generalized closed set namely intuitionistic fuzzy $\widehat{\beta }T_{1/2}$ space and intuitionistic fuzzy $\widehat{\beta }_{g}T_{q}$ space.

Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy $\widehat{\beta }$ generalized closed set, Intuitionistic fuzzy $\widehat{\beta }$ generalized open set, Intuitionistic fuzzy $\widehat{\beta }T_{1/2}$ space and Intuitionistic fuzzy $\widehat{\beta }_{g}T_{q}$ space.


Authors : R. Umamaheshwar Rao and P. Naresh
Title : Elzaki Transform for Exponential Growth and Decay
Volume, Issue, Year : 5(3−C)(2017)
Pages : 305−308

Abstract: In this paper, we show the solutions to the problems occurred in applications of first order ordinary differential equations based on the principle of Law of natural growth and decay by using the new integral transform called Elzaki Transform.

Keywords: Elzaki Transform, Law of natural growth and decay, Differential equations.


Authors : Sushma Duraphe, Geeta Modi and Sarla Raigar
Title : A New Method for the Optimum Solution of a Transportation Problem
Volume, Issue, Year : 5(3−C)(2017)
Pages : 309−312

Abstract: In Linear programming, the transportation problem is a special class of model. It deals with the situation in which commodity from several sources is shipped to different destination with the main objective to minimize the total shipping cost. In this paper, we are trying to find the optimum solution of a transportation problem using the method. we are presenting the algorithm for the above method by using statistical tool called Arithmetic Mean.

Keywords: Transportation, Basic feasible solution, Arithmetic Mean, optimal solution.


Authors : J.Prakashmanimaran, B.Chellappa and M.Jeyakumar
Title : Some Theorems on Anti $T-$Fuzzy Ideal of $\ell-$Ring
Volume, Issue, Year : 5(3−C)(2017)
Pages : 313−318

Abstract: In this paper, we made an attempt to study the properties of anti $T-$fuzzy ideal of$\ell -$ring and we introduce some definitions and theorems of product of anti $T-$fuzzy ideal of $\ell -$ring.

Keywords: Fuzzy subset, $T-$fuzzy ideal, anti $T-$fuzzy ideal, join of anti $T-$fuzzy ideal, union of anti $T-$fuzzy ideal and product of anti $T-$fuzzy ideal.


Authors : Renukadevi S. Dyavanal and Ashok Rathod
Title : General Milloux Inequality for Algebroid Functions on Annuli
Volume, Issue, Year : 5(3−C)(2017)
Pages : 319−326

Abstract: The purpose of this paper is to establish the general form of Milloux inequality for algebroid function on annuli when the multiple values are considered.

Keywords: Nevanlinna Theory, Milloux inequality, algebroid functions, the annuli.


Authors : Heera Saini and Shagoon Wazir
Title : A Note On Composition Operators Between Orlicz Spaces
Volume, Issue, Year : 5(3−C)(2017)
Pages : 327−331

Abstract: In this paper, we characterize the boundedness of composition operators between any two Orlicz spaces.

Keywords: Boundedness, composition operators, Orlicz spaces.