Altering Point Results involving C-Class Functions in Partial Metric Spaces

Abstract

The purpose of this paper is to explore the existence of altering points satisfying the system of equations using the notion of -class functions. Here, and are two 0-complete partial metric spaces, and and are set-valued mappings. The key idea is to use the properties of -class functions to establish the existence of a sequence of points that converge to the altering point, thereby demonstrating the existence of such points in the first place. By analyzing the properties of and and their interaction with -class functions, we can gain insight into the nature of the altering points and the underlying spaces. The findings of this study provide a generalization and extension of various results in the existing literature, highlighting the significance of the proposed approach.