C$_{\mathrm{G}}$\textbf{-class function approach to random coincidence point results for weakly increasing contraction mappings

Abstract

This paper aims to develop random coincidence point
theorems for weakly increasing random operators within the framework of
ordered metric spaces, utilizing generalized altering distance functions in
conjunction with C$_{\mathrm{G}}$\textbf{-class} functions. The findings
offer stochastic extensions and generalizations of several established
results from the existing literature.