Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces

Authors

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

https://doi.org/10.1186/s42787-019-0064-3

Abstract

The aim of this paper is to obtain some new important consequences related to
coupled coincidence points via C-class functions in the context of a regular partial
ordered complete b-metric-like space (for short, RPOCbML space); this space arises
from combining the results of b-metric-like space with partial metric space and adding
the regularity condition. Finally, we support our theoretical results by some examples
and an application about finding an analytical solution for nonlinear integral equations.

Keywords