Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications

Abstract

In this paper, some new results are given on fixed and common fixed points of Geraghty type contractive mappings defined in b-complete b-metric spaces. Moreover, two examples are represented to show the compatibility of our results. Some applications for nonlinear integral equations are also given.

Keywords

• fixed point
• Geraghty
• b-metric space