Common fixed point results of \(s\)-\(\alpha\) contraction for a pair of maps in \(b\)-dislocated metric spaces
OMA-Vol. 4 (2020), Issue 2, pp. 142 – 151 Open Access Full-Text PDF
Abdissa Fekadu, Kidane Koyas, Solomon Gebregiorgis
Abstract: The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \(s-\alpha\) contraction for a pair of maps in the setting of \(b\) – dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.
Some integral inequalities for co-ordinated harmonically convex functions via fractional integrals
EASL-Vol. 3 (2020), Issue 4, pp. 60 – 74 Open Access Full-Text PDF
Naila Mehreen, Matloob Anwar
Abstract: In this paper, we find some Hermite-Hadamard type inequalities for co-ordinated harmonically convex functions via fractional integrals.
On the existence of positive solutions of a state-dependent neutral functional differential equation with two state-delay functions
OMA-Vol. 4 (2020), Issue 2, pp. 132 – 141 Open Access Full-Text PDF
El-Sayed, A. M. A, Hamdallah, E. M. A, Ebead, H. R
Abstract: In this paper, we study the existence of positive solutions for an initial value problem of a state-dependent neutral functional differential equation with two state-delay functions. The continuous dependence of the unique solution will be proved. Some especial cases and examples will be given.
Degree affinity number of certain \(2\)-regular graphs
ODAM-Vol. 3 (2020), Issue 3, pp. 77 – 84 Open Access Full-Text PDF
Johan Kok
Abstract: This paper furthers the study on a new graph parameter called the degree affinity number. The degree affinity number of a graph \(G\) is obtained by iteratively constructing graphs, \(G_1,G_2,\dots,G_k\) of increased size by adding a maximal number of edges between distinct pairs of distinct vertices of equal degree. Preliminary results for certain \(2\)-regular graphs are presented.
Approximate solution of nonlinear ordinary differential equation using ZZ decomposition method
OMS-Vol. 4 (2020), Issue 1, pp. 448 – 455 Open Access Full-Text PDF
Mulugeta Andualem, Atinafu Asfaw
Abstract: Nonlinear initial value problems are somewhat difficult to solve analytically as well as numerically related to linear initial value problems as their variety of natures. Because of this, so many scientists still searching for new methods to solve such nonlinear initial value problems. However there are many methods to solve it. In this article we have discussed about the approximate solution of nonlinear first order ordinary differential equation using ZZ decomposition method. This method is a combination of the natural transform method and Adomian decomposition method.
Weak implicative UP-filters of UP-algebras
OMS-Vol. 4 (2020), Issue 1, pp. 442 – 447 Open Access Full-Text PDF
Daniel A. Romano, Young Bae Jun
Abstract: The concept of weak implicative UP-filters in UP-algebras is introduced and analyzed. Some characterizations of weak implicative UP-filters are derived with the using of some other filter types in such algebras.
