C*-algebra-valued modular metric space; C-*-class function; JHR-operator pair; common fixed point; weakly compatible; integral equation
SPRINGER BASEL AG
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v. 20, no. 1, Article no. UNSP 17
In this paper, we define JHR-operator pairs in a C*-algebravalued modular metric space. Next, by using C-*-class functions, 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 nonlinear integral equations.