# Articles

H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the Small Oscillations of a Heavy Inviscid Liquid in a Container Supported by an Elastic Structure, Volume 2017, Number 5, Pages 1-11, 2017

## H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the Small Oscillations of a Heavy Inviscid Liquid in a Container Supported by an Elastic Structure, Volume 2017, Number 5, Pages 1-11, 2017

Abstract: The authors propose a mathematical study of the small oscillations of a heavy inviscid liquid in an arbitrary rigid container supported by an elastic structure. From the equations of motion of the system, they deduce a variational formulation of the problem and after, an operatorial equation in...

Osama Moaaz and Mahmoud A.E. Abdelrahman, On the Class of the Rational Difference Equations, Volume 2017, Number 4, Pages 46-55, 2017.

## Osama Moaaz and Mahmoud A.E. Abdelrahman, On the Class of the Rational Difference Equations, Volume 2017, Number 4, Pages 46-55, 2017.

Abstract: In this paper we investigate the qualitative behavior of the solution of the class of the rational Difference Equations. Namely, we consider the stability, boundedness, and periodicity of the solution. We also give some interesting examples in order to verify our results. Keywords: Difference equations, equilibrium...

S.Anita Shanthi, N.Thillaigovindan and R.Poovizhi, Separation axioms on fuzzy rough topological spaces, Volume 2017, Number 4, Pages 33-45, 2017.

## S.Anita Shanthi, N.Thillaigovindan and R.Poovizhi, Separation axioms on fuzzy rough topological spaces, Volume 2017, Number 4, Pages 33-45, 2017.

Abstract: In this paper we introduce separation axioms on fuzzy rough topological spaces using the concept of fuzzy rough points and study some of their properties. We also discuss some properties of these spaces. Keywords: Fuzzy rough open and closed sets, fuzzy rough point, fuzzy rough subspace,...

B. Chaluvaraju, H. S. Boregowda and S. A. Diwakar, Hyper-Zagreb indices and their polynomials of some special kinds of windmill graphs, Volume 2017, Number 4, Pages 21-32, 2017.

## B. Chaluvaraju, H. S. Boregowda and S. A. Diwakar, Hyper-Zagreb indices and their polynomials of some special kinds of windmill graphs, Volume 2017, Number 4, Pages 21-32, 2017.

Abstract: The first two hyper-Zagreb indices of a graph $G$ denoted, $HM_{1}(G)$ and $HM_{2}(G)$ are well known. Considering these hyper Zagreb indices, in this paper we computing the first two hyper-Zagreb indices and their polynomials of certain classes of windmill graphs such as french windmill graphs,...

B R. Wadkar, L N Mishra, R Bhardwaj and B Singh, Fixed Point Theorems In Fuzzy 2-Metric Spaces, Volume 2017, Number 4, Pages 14-20, 2017.

## B R. Wadkar, L N Mishra, R Bhardwaj and B Singh, Fixed Point Theorems In Fuzzy 2-Metric Spaces, Volume 2017, Number 4, Pages 14-20, 2017.

Abstract: In this paper we obtain some fixed point theorems in fuzzy 2- metric spaces on four-mappings and six -mappings using the concept of sub compatible of type A. Keywords: Fixed point, fuzzy metric space and fuzzy 2-metric space. Full text: PDF Full file: XML How to...

Omar M. Saad, Mervat M. Elshafei and Marwa M. Sleem, Interactive Approach for Multi-level Quadratic Fractional Programming Problems, Volume 2017, Number 4, Pages 1-13, 2017.

## Omar M. Saad, Mervat M. Elshafei and Marwa M. Sleem, Interactive Approach for Multi-level Quadratic Fractional Programming Problems, Volume 2017, Number 4, Pages 1-13, 2017.

Abstract: This paper, present an Interactive decision making method for multi-level quadratic fractional programming \textbf{(MLQFP)} problems. The upper-level objective function is quadratic fractional problem in which both the numeratorand denominator of the objective function can be factorized into linear function, the second-level objective function is...

I.Sahul Hamid, H.Shanmuga Priya and A.Anitha, Simple Geodesic Path Covers and Helly Property, Volume 2017, Number 3, Pages 34-39, 2017

## I.Sahul Hamid, H.Shanmuga Priya and A.Anitha, Simple Geodesic Path Covers and Helly Property, Volume 2017, Number 3, Pages 34-39, 2017

Abstract: A \emph{simple geodesic path cover} $\mathcal{SGPC}$ of a graph $G$ is a decomposition of $G$ into shortest paths such that any two members of the decomposition share at most one vertex. The minimum cardinality of a simple geodesic path cover of $G$ is called...

Ram U. Verma, Semiinfinite multiobjective fractional programming problems using exponential type generalized invexities, Volume 2017, Number 3, Pages 16-33, 2017

## Ram U. Verma, Semiinfinite multiobjective fractional programming problems using exponential type generalized invexities, Volume 2017, Number 3, Pages 16-33, 2017

Abstract: In this paper, first a class of second order exponential type hybrid $(\alpha$, $\beta$, $\gamma$, $\eta$, $\rho$, $h(\cdot,\cdot)$, $\kappa(\cdot,\cdot)$, $\omega(\cdot,\cdot,\cdot)$, $\varpi(\cdot,\cdot,\cdot)$, $\theta)$-invexities is introduced, and then a class of parametrically sufficient efficiency conditions based on the second order exponential type hybrid invexities is established....

Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, Volume 2017, Number 3, Pages 9-15, 2017

## Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, Volume 2017, Number 3, Pages 9-15, 2017

Abstract: Positiveness of scalar curvature and Ricci curvature requires vanishing the obstruction $\theta(M)$ which is computed in some KK theory of C*-algebras index as a pairing of spin Dirac operator and Mishchenko bundle associated to the manifold. U. Pennig had proved that the obstruction $\theta(M)$...

Anjana Bhattacharyya, Some Properties of fgs*-Continuous Functions, Volume 2017, Number 3, Pages 1-8, 2017

## Anjana Bhattacharyya, Some Properties of fgs*-Continuous Functions, Volume 2017, Number 3, Pages 1-8, 2017

Abstract: This paper is a continuation of [7]. In this paper we have introduced and characterized fgs*-regular and fgs*-normal spaces. In Section 4, a new type of fuzzy T2-space, viz., fgs*-T2 space is introduced and shown that fgs*-T2-space remains invariant under inverse image of fgs*-irresolute function....

S Olatunji, E J Dansu and A Abidemi, On a class of Bazilevic functions associated with quasi-subordination, Volume 2017, Number 2, Pages 33-39, 2017

## S Olatunji, E J Dansu and A Abidemi, On a class of Bazilevic functions associated with quasi-subordination, Volume 2017, Number 2, Pages 33-39, 2017

Abstract: A new class $\mathcal H_q(\alpha, b, n)$ of Bazilevi\v c functions of type $\alpha$ defined in terms of quasi-subordination is presented. We obtain the coefficient estimates as well as the Fekete-Szeg\"o inequality of functions that are related to the new class. The improved results for...

H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the small oscillations of a heavy viscous liquid in a rigid container closed by an elastic membrane, Volume 2017, Number 2, Pages 25-32, 2017

## H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the small oscillations of a heavy viscous liquid in a rigid container closed by an elastic membrane, Volume 2017, Number 2, Pages 25-32, 2017

Abstract: The authors study the small oscillations of a heavy viscous liquid in a container closed by an elastic membrane. From the equations of the problem, they obtain its variational formulation, then an operatorial equation in a suitable Hilbert space. By a simple change of the...

Omur Deveci and Anthony G. Shannon, On The Adjacency-Type Sequences, Volume 2017, Number 2, Pages 10-24, 2017

## Omur Deveci and Anthony G. Shannon, On The Adjacency-Type Sequences, Volume 2017, Number 2, Pages 10-24, 2017

Abstract: This paper develops properties of the adjacency-type sequences defined from the adjacency matrix of the Cayley diagram for the direct product of two cyclic groups of order n and m. Also, we study the adjacency-type sequences modulo a from the generating matrices of the adjacency-type...

G.Thangaraj and R.Palani, A short note on fuzzy residual sets and fuzzy functions, Volume 2017, Number 2, Pages 1-9, 2017

## G.Thangaraj and R.Palani, A short note on fuzzy residual sets and fuzzy functions, Volume 2017, Number 2, Pages 1-9, 2017

Abstract: In this paper several characterizations of fuzzy residual sets are established and the criteria for preservation of the fuzzy residuality of fuzzy sets under fuzzy continuous and fuzzy open functions between fuzzy topological spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy somewhere dense...

Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

## Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

Abstract: In this paper we use the quantization of fields based on Geometric Langlands Correspondence \cite{diep1} to realize the automorphic representations of some concrete series of groups: for the affine Heisenberg (loop) groups it is reduced to the construction of the affine Kac-Moody representation by the...

S.O. Olatunji and E.J. Dansu, On neighbourhoods of analytic functions defined by using modified sigmoid function associated with conic domain, Volume 2017, Number 1, Pages 41-47, 2017

## S.O. Olatunji and E.J. Dansu, On neighbourhoods of analytic functions defined by using modified sigmoid function associated with conic domain, Volume 2017, Number 1, Pages 41-47, 2017

Abstract: The neighbourhood of $N_\delta(f)$ for function $f_\gamma\in k$-$T_n^s[A,B]$ whose geometric condition satisfy $R\left(\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}\right)> k\left|\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}-1\right|$ where $k\geq 0$, $n\in N_0$, $-1\leq B<A\leq 1$ and $\lim_{s\rightarrow \infty}\gamma(s)=1$ is considered. Key words: Starlike Function; Convex Function; Analytic Function; Modified Sigmoid Function; Conic Domain. Full text: PDF Full file: XML

P Sumati Kumari, A H Ansari and M Sarwar, On b-dislocated quasi-metric space, Volume 2017, Number 1, Pages 30-40, 2017

## P Sumati Kumari, A H Ansari and M Sarwar, On b-dislocated quasi-metric space, Volume 2017, Number 1, Pages 30-40, 2017

Abstract: The purpose of this work is to study topological properties of b-dislocated quasi-metric space and derive some fixed point theorems. Moreover, few examples are given to illustrate the usability of the obtained results. Key words: $b$-dislocated quasi-metric space, Zamfirescu contraction and $s-z$ quasi-contraction. Full text: PDF...

S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017

## S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017

Abstract: In this paper the concept of soft almost continuous mappings and soft almost open mappings in soft topological spaces have been introduced and studied. Key words: Soft open sets, Soft weakly continuous mappings, Soft almost continuous mappings and Soft almost open mappings. Full Text: PDF...

Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017

## Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017

Abstract: In this paper we have first introduced fuzzy $p$-closed and fuzzy regular $p$-closed spaces and then characterized these two concepts in several ways. Afterwards, we have introduced two new concepts of fuzzy cover, viz., fuzzy $p$-cover and fuzzy regular $p$-cover respectively and characterized fuzzy...

S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017

## S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017

Abstract: In this paper $q^{th}$ order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, are terms of the binomial expansion...