On weakly commuting pairs of quasi-contractive mappings with applications
Fixed Point Methods and Optimization, Volume 2, Issue 3, December 2025, Pages 229–263
DANIEL FRANCIS
Department of Mathematics, Collage of Physical and Applied Sciences, Michael Okpara University of Agriculture, Umudike, P.M.B 7267, Umuahia, Abia State, Nigeria
Abstract
This paper establishes the existence of common fixed points for three distinct pairs of weakly commuting quasi-contractive self-mappings within the framework of generalized modular metric spaces. We present a series of fixed-point theorems specifically for these mappings, considering cases where they are defined on a \(\omega^{G}\)-complete modular \(\omega^{G}\)-metric space. The results obtained in this study enhance, extend, and unify numerous established findings, providing a broader perspective on fixed-point theory in modular spaces.
Cite this Article as
Daniel Francis, On weakly commuting pairs of quasi-contractive mappings with applications, Fixed Point Methods and Optimization, 2(3), 229–263, 2025