Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application

Abstract

In this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ($ \psi $, $ \beta $)-Geraghty contraction type mapping in partially ordered proximity spaces. Finally, we investigate an application to endorse our results.

Keywords

• fixed point
• common fixed point
• ($ \psi $
• $ \beta $)-geraghty contraction
• proximity spaces