Journal of the Nigerian Mathematical Society

Monics and krib maps in Nayo Algebras

Emmanuel Ilojide — 2021-05-18

In this paper, nayo algebras are introduced. Properties of homomorphisms in relation to translation maps in nayo algebras are investigated. Moreover, monics and krib maps are introduced and studied in some classes of nayo algebras

SOME TOPOLOGICAL PROPERTIES ON A CONSTRUCTED INVOLUTION PERMUTATION METRIC SPACE

Garba Abor Isa — 2021-05-18

In this study, a metric is constructed on set of
some permutations on Sn called involution permutations. Some
topological properties of the metric permutation space were in-
vestigated. The study shows that every subset of the metric
involution permutation space is open, and the topological space
generated by the metric involution permutations space is Haus-
dorff, disconnected and normal.

A forward-backward splitting algorithm for quasi-Bregman nonexpansive mapping, equilibrium problems and accretive operators.

Bashir Ali — 2021-05-18

In this paper, we study a forward-backward splitting algorithm for fixed points of a quasi-Bregman nonexpansive mapping, solution of equilibrium problem and zero points of the sum of families of accretive operators and $\alpha_i$-inverse-strongly accretive operators. We proved a weak convergence of the sequences generated by this algorithm in reflexive Banach space. Our result extend and improve important recent results announced by many authors.

ONE-STEP SECOND DERIVATIVE BLOCK INTRA-STEP METHOD FOR STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

Umaru Mohammed — 2021-05-18

Presented here is a one-step second derivative intra-point block numerical method of uniform order eight for seeking the solution of stiff systems of ordinary di erential equations directly. The techniques of interpolation and collocation are used to build the continuous scheme from which the main method and additional methods were obtained. The convergence analysis of the proposed method to validate their e ffectiveness and reliability is presented. Some numerical examples both linear and non-linear are solved to demonstrate the effIciency of the method.

Mathematical analysis of the global dynamics model for HIV infection of CD4+ T cells with treatment using Adomian Decomposition Approach

B. Gbadamosi — 2021-05-18

A compartmental epidemic model proposed by Liancheng and Micheal [1] was investigated. A nonlinear incidence rate and treatment were taken into consideration. The bifurcation method introduced in [2] was being used to perform a bifurcation study, which is predicated on the use of the center manifold theory. The forward bifurcation was discovered. The Adomian Decomposition Method (ADM) was also used to approximate the solution of the problem's nonlinear system of differential equations. The computations were carried out using Maple, and the graphical results are given.