C*-algebra-valued modular metric space; common fixed point; integral equation; -operator pair; modular metric space; weakly compatible
Issue Date
2018-12
Publisher
TAYLOR & FRANCIS INC
Citation
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, v. 39, no. 16, page. 1785-1805
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.