# Articles

Bazuaye Frank E and Ajibola S. O, A Two-Step Seventh-Order Extended Exponential General Linear Methods for Solving IVPs in ODEs, Volume 2017, Number 6, Pages 51-59, 2017

## Bazuaye Frank E and Ajibola S. O, A Two-Step Seventh-Order Extended Exponential General Linear Methods for Solving IVPs in ODEs, Volume 2017, Number 6, Pages 51-59, 2017

Abstract: In this paper, a class of extended exponential general linear methods of second stage seventh order is developed. The resulting integrator is based on the variation of constant formula for initial value problems (IVPs) in Ordinary differential equations (ODEs). Stability analysis indicate that the scheme...

M.Raafat and A.M.Abd El-Latif, On Multi Weak Structures, Volume 2017, Number 6, Pages 42-50, 2017

## M.Raafat and A.M.Abd El-Latif, On Multi Weak Structures, Volume 2017, Number 6, Pages 42-50, 2017

Abstract: In this paper, the concept of multi weak structures is introduced and its several results are presented in details. It is worth mentioning that multi weak structures are a generalization of weak structures and multi topological spaces. Moreover, we give the deviations between the previous...

Ziad Rached, An Exact Method for a Class of Third Order Nonlinear Differential Equations, Volume 2017, Number 6, Pages 36-41, 2017

## Ziad Rached, An Exact Method for a Class of Third Order Nonlinear Differential Equations, Volume 2017, Number 6, Pages 36-41, 2017

Abstract: In this work, an existing method for solving certain classes of nonlinear second order ordinary differential equations is extended to nonlinear third order ordinary differential equations. The method simply expresses the solution of the nonlinear differential equation in terms of solutions of an equivalent...

Edikan E. Akpanibah and Bright O. Osu, Portfolio Strategy for an Investor with Stochastic Premium Under Exponential Utility via Legendre Transform and Dual Theory, Volume 2017, Number 6, Pages 27-35, 2017

## Edikan E. Akpanibah and Bright O. Osu, Portfolio Strategy for an Investor with Stochastic Premium Under Exponential Utility via Legendre Transform and Dual Theory, Volume 2017, Number 6, Pages 27-35, 2017

Abstract: We investigate the optimal investment strategies of an insurance company. We assume that the rates at which premiums are paid to insurance companies are stochastic, the total claims are modeled by a compound Poisson process, we assume that surplus of the insurance company is invested...

David Delali Zigli, William Obeng-Denteh and Isaac Owusu-Mensah, On the Candid Appraisal of the Proof of $\prod_{1}(S,x_{o})$ as a Fundamental Group with respect to "$\circ$", Volume 2017, Number 6, Pages 20-26, 2017

## David Delali Zigli, William Obeng-Denteh and Isaac Owusu-Mensah, On the Candid Appraisal of the Proof of $\prod_{1}(S,x_{o})$ as a Fundamental Group with respect to "$\circ$", Volume 2017, Number 6, Pages 20-26, 2017

Abstract: It is known that a homeomorphism between two topological spaces preserves all the topological properties such as connectedness and compactness. To a map of spaces we can associate a homomorphism of groups such that compositions of maps yield compositions of homomorphisms of groups. Then any...

Bochar Laarabi and Bouchaib Radi, A Two-Phase Heuristic Method for Solving Team Orienteering Problem, Volume 2017, Number 6, Pages 10-19, 2017

## Bochar Laarabi and Bouchaib Radi, A Two-Phase Heuristic Method for Solving Team Orienteering Problem, Volume 2017, Number 6, Pages 10-19, 2017

Abstract: The Team Orienteering Problem $(TOP)$ is an catchy variant of the Vehicle Routing Problem $(VRP)$. The aim at maximizing the total amount of profit collected by a fleet of vehicles while not exceeding a predefined travel cost limit on each vehicle. In this paper,we propose...

Surendra Kumar Tiwari and Kaushik Das, Cone Metric Spaces and Fixed Point Theorems for Generalized T-Reich Contraction with c-Distance, Volume 2017, Number 6, Pages 1-9, 2017

## Surendra Kumar Tiwari and Kaushik Das, Cone Metric Spaces and Fixed Point Theorems for Generalized T-Reich Contraction with c-Distance, Volume 2017, Number 6, Pages 1-9, 2017

Abstract: A new concept of the c-distance in cone metric spaces has been introduced by Cho et al. [8] in 2011. Recently, Fadail et al. [24] in 2017 introduced the $T$-Reich contraction under the concept of $c$-distance in cone metric spaces and proved uniqueness fixed point...

Tesfalem Hadush Meche and Habtu Zegeye, Approximation of Common Solutions of Fixed Point Problem for Hemicontractive-type Mapping, Split Equilibrium and Variational Inequality Problems, Volume 2017, Number 5, Pages 70-89, 2017.

## Tesfalem Hadush Meche and Habtu Zegeye, Approximation of Common Solutions of Fixed Point Problem for Hemicontractive-type Mapping, Split Equilibrium and Variational Inequality Problems, Volume 2017, Number 5, Pages 70-89, 2017.

Abstract: In this paper, we introduce and study an iterative approximation method for finding a common element of the set of fixed points of multi valued hemicontractive-type mapping,  the set of solutions of split equilibrium problem and the set of solutions of variational inequality problem for...

V. Chinnadurai and S. Kadalarasi, Characterizations of Near-Rings by (α, β)-Fuzzy Ideals, Volume 2017, Number 5, Pages 55-69, 2017.

## V. Chinnadurai and S. Kadalarasi, Characterizations of Near-Rings by (α, β)-Fuzzy Ideals, Volume 2017, Number 5, Pages 55-69, 2017.

Abstract: Aim of this paper is to investigate the characterizations of the concept of $(\alpha,\beta)$-fuzzy ideals of left near-rings, where $\alpha,\beta$ are any two of $\{\in,q,\in\vee q,\in\wedge q\}$ with $\alpha\neq \in\wedge q$ by using belongs to relation $(\in)$ and quasi-coincidence with relation $(q)$ between fuzzy...

Bazuaye F.E and Osisiogu A.U, A New Approach to Constructing Extended Exponential General Linear Methods for Initial Value Problems in Ordinary Differential Equations, Volume 2017, Number 5, Pages 44-54, 2017

## Bazuaye F.E and Osisiogu A.U, A New Approach to Constructing Extended Exponential General Linear Methods for Initial Value Problems in Ordinary Differential Equations, Volume 2017, Number 5, Pages 44-54, 2017

Abstract: This paper focuses on a new extension approach for the construction of Exponential General Linear Methods. These methods are related to Butcher, Calvo and Palencia and Osisiogu and Bazuaye Methods, but, in contrast to the later, we make use of higher terms of the exponential and related...

S. R. Barbhuiya, $(∈, ∈ ∨q)$-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

## S. R. Barbhuiya, $(∈, ∈ ∨q)$-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

Abstract: The notion of $(\in,\in \vee q)$-interval-valued fuzzy prime ideals in commutative BCK-algebras is introduced. Some characterization theorems in $(\in,\in \vee q)$-interval-valued fuzzy prime ideals in commutative BCK-algebras are derived. Also we study relation between $(\in,\in \vee q)$-interval-valued fuzzy prime ideal and $(\in \vee q)$-interval-valued fuzzy level prime ideals....

A. G. Shannon and Kenny Pruitt, Functional Difference Equations, Volume 2017, Number 5, Pages 22-30, 2017.

## A. G. Shannon and Kenny Pruitt, Functional Difference Equations, Volume 2017, Number 5, Pages 22-30, 2017.

Abstract: The purpose of this paper is to generalize some results of Horadam and to extend some identities due to Carlitz in the context of functional difference equations. It includes an operator which yields a type of Appell-set criterion. Generalizations of Simson’s identity occur as by-products and these...

G.Thangaraj and S.Muruganantham, On Fuzzy Perfectly Disconnected Spaces, Volume 2017, Number 5, Pages 12-21, 2017

## G.Thangaraj and S.Muruganantham, On Fuzzy Perfectly Disconnected Spaces, Volume 2017, Number 5, Pages 12-21, 2017

Abstract: In this paper, the concept of fuzzy perfectly disconnected space is introduced and several characterizations of fuzzy perfectly disconnected spaces, are established. Keywords: Fuzzy nowhere dense set, fuzzy regular open set, fuzzy -open set, fuzzy -open set, fuzzy pre-open set, fuzzy extremally disconnected space, fuzzy hyper-connected space,...

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...