Some common fixed point theorems in generalized modular metric spaces with applications

Abstract

In this paper, we extend the notion of weakly commuting mappings results in modular metric spaces to setting of modular ωG-metric spaces and prove the existence of unique common fixed point of three pairs of weakly commuting self-maps in modular ωG-metric spaces. Moreover, we apply our results in solving certain nonlinear three dimensional integral equations. The results proved in this paper extend, improve and generalize several existing results.

Keywords

• Common unique fixed point
• Modular G-metric spaces
• Weakly commuting mappings
• Nonlinear pachpatte integral equations