Common fixed points for ψ ψ-Geraghty-Jungck contraction type mappings in Branciari b-metric spaces

Abstract

The main purpose of this paper is to define a class of pair of mappings, called ψ-Geraghty-Jungck contraction pair, and discuss the existence and uniqueness of its common fixed points under the weakly compatibility property, in the framework of Branciari b-metric spaces.

Keywords

• contraction-type mapping
• common fixed point