Occasionally Weakly Compatible Maps and Common Fixed Point Theorems in Certain New Generalized Symmetric Space

Abdalqadir Hamid  Abed; Alaa. M. F.  Al-Jumaili

doi:10.24996/ijs.2024.65.8.24

Authors

Abdalqadir Hamid Abed Department of mathematics, College of Education for pure science, University of Anbar, Anbar, Iraq https://orcid.org/0009-0000-6837-6264
Alaa. M. F. Al-Jumaili Department of mathematics, College of Education for pure science, University of Anbar, Anbar, Iraq https://orcid.org/0000-0002-9363-2562

DOI:

https://doi.org/10.24996/ijs.2024.65.8.24

Keywords:

D^*-symmetric space, D^*-metric space, common fixed point, generalized contractive maps, (E.A) property, (O.W.C) maps

Abstract

The major objective of the present paper is to study and investigate certain new class of generalized metric spaces namely, -symmetric spaces which is generalization of both -metric space and G-symmetric space. Moreover, employ the idea of the (E. A) property to establish the uniqueness of common fixed points of two pair of occasionally weakly compatible (OWC) maps under effect generalized contractive conditions in -symmetric spaces. Our main outcomes are generalization of various results of common fixed point theorems in the literature. In addition, we are equipping diverse convenient examples that support our major results.