𝒥Script capital HScript capital R-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application

Abstract

In this paper, we introduce and define a concept of -operator pair as a pair of non-commuting mappings in a C*-algebra-valued modular metric space. Next, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of integral equations.