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Latest Articles
Review Article
Fixed Point Theorem For Non-Expansive Mapping in Partial b-Metric Space
Masood Shahbaz
ABSTRACT: The goal is to develop a class of non-expensive mappings known as α_s-non-expansive mappings. These α_s-non-expansive mappings fully satisfied the generalized conditions of contraction. Some fixed-point theorems have been proved for newly developed α_s-non-expansive mappings in the environment of complete partial b-metric space. The generalization of proposed new study is proved as the new results generalizes the pre-existing results. For demonstration of main results, few examples are provided. The application of proposed work is elaborated by applying it to a boundary value problem where the existence of solution is shown.
Keywords Fixed Points, Non-Expansive Mapping, Partial b-Metric Space
Received: 13-05-2024; Revised: 14-05-2024; Accepted: 15-05-2024; Published: 15-05-2024
Review Article
A GRAPHICAL OVERVIEW OF SOME ALGEBRAIC STRUCTURESAND THEIR ASSOCIATED APPLICATIONS
Nizish Mehmood
ABSTRACT: Taking into account the most recent improvements in graph theory and algebra we can associate graphs of some mathematical structures to certifiable widely known applications. The aim of this paper is to develop the relationship through edge labeling among Latin squares of Moufang loops, constructed by additive abelian and multiplicative groups, its substructures and complete bipartite graphs..
Keywords Fixed Points, Non-Expansive Mapping, Partial b-Metric Space
Received: 13-06-2024; Revised: 18-06-2024; Accepted: 19-06-2024; Published: 20-06-2024