Common Fixed Point of (<i>ψ</i>, <i>β</i>, <i>L</i>)-Generalized Contractive Mapping in Partially Ordered <i>b</i>-Metric Spaces

Abstract

The purpose of this paper is to attain the existence of coincidences and common fixed points in four mappings satisfying (ψ,β,L)-generalized contractive conditions in the framework of partially ordered b-metric spaces. The main results presented in this paper generalize some recent results in the existing literature. Furthermore, a nontrivial example is presented to support the obtained results.

Keywords

• coincidence point
• partially ordered b-metric space
• weakly compatible
• partially weakly increasing