A generalization of Suzuki's fixed point theorem for nonexpansive mappings to a system of mappings

Abstract

In this paper, we present a generalization of Suzuki’s fixed point theorem [J. Math. Anal. Appl., 340 (2008), 2, 1088-1095] for nonexpansive mappings to a system of mappings. Furthermore, we establish an existence result for two systems of mappings under the assumption of coordinatewise commutativity. Additionally, we provide some examples to support our findings.