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Convergence of the Ishikawa Type Iteration Process with Errors of I-Asymptotically Quasi-nonexpansive Mappings in Cone Metric Spaces

Ashfaque Ur Rahman, K. Qureshi, Geeta Modi & Manoj Ughade · Asian Research Journal of Mathematics · 2019

The goal of this article is to consider an Ishikawa type iteration process with errors to approximate the fixed point of -asymptotically quasi non-expansive mapping in convex cone metric spaces. Our results extend and generalize many known results from complete generalized convex...

Open access Research Article 10.9734/arjom/2019/v14i230121

A Numerical Integrator for Oscillatory Problems

Yusuf Dauda Jikantoro, Yahaya Badeggi Aliyu, Aliyu Alhaji Ishaku Ma’ali, Abdulkadir Abubakar & Ismail Musa · Asian Research Journal of Mathematics · 2019

Presented here is a numerical integrator, with sixth order of convergence, for solving oscillatory problems. Dispersion and dissipation errors are taken into account in the course of deriving the method. As a result, the method possesses dissipation of order infinity and dispersi...

Open access Research Article 10.9734/arjom/2019/v14i130119

Analytical Study of a System of Difference Equation

Abdualrazaq Sanbo & Elsayed M. Elsayed · Asian Research Journal of Mathematics · 2019

We study the qualitative behavior of a predator-prey model, where the carrying capacity of the predators environment is proportional to the number of prey. The considered system is given by the following rational difference equations: $$x_{n+1}=\dfrac{x_{n} y_{n-2}}{y_{n-1} + y_{...

Open access Research Article 10.9734/arjom/2019/v14i130118

On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

Monica Atogpelge Atugba & Kwara Nantomah · Asian Research Journal of Mathematics · 2019

By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known...

Open access Research Article 10.9734/arjom/2019/v14i130117

Mathematical Modeling of Yellow Fever Transmission Dynamics with Multiple Control Measures

Tunde T. Yusuf & David O. Daniel · Asian Research Journal of Mathematics · 2019

Yellow-fever disease remains endemic in some parts of the world despite the availability of a potent vaccine and effective treatment for the disease. This necessitates continuous research to possibly eradicate the spread of the disease and its attendant burden. Consequently, a de...

Open access Research Article 10.9734/arjom/2019/v13i430112

The Double Auxiliary Equations Method and its Application to Some Nonlinear Evolution Equations

A. A. Moussa, I. M. E. Abdelstar, A. K. Osman & L. A. Alhakim · Asian Research Journal of Mathematics · 2019

Throughout this article, symbolic computation will be used in order to construct a more general exact solutions of the nonlinear evolution equations through a new method called the double auxiliary equations' method, the method represent the study focus of this article. The metho...

Open access Research Article 10.9734/arjom/2019/v13i330110

Proposing a New Form of Fuzzy Sets and Its Properties

Einallah Salehi · Asian Research Journal of Mathematics · 2019

In this paper, a new form of fuzzy sets is defined, in which algebraic operations and some of their properties are different from algebraic operations on ordinary fuzzy sets. The definition provided enables us to examine the properties of fuzzy sets that are not possible using or...

Open access Research Article 10.9734/arjom/2019/v13i330108

An Accurate Implicit Quarter Step First Derivative Block Hybrid Method (AIQSFDBHM) for Solving Ordinary Differential Equations

P. Tumba, J. Sabo, A. A. Okeke & D. I. Yakoko · Asian Research Journal of Mathematics · 2019

The new accurate implicit quarter step first derivative blocks hybrid method for solving ordinary differential equations have been proposed in this paper via interpolation and collocation method for the solution of stiff ODEs. The analysis of the method was study and it was found...

Open access Research Article 10.9734/arjom/2019/v13i330106