Fixed points of multiplicative closed graph operators on b-multiplicative metric spaces

Abstract

This article discusses fixed point iterations of some multiplicative contraction mappings with variations in b-multiplicative metric space domains. A map that satisfies the multiplicative contraction condition has been proposed for an increasing sequence of subsets of a b-multiplicative metric space, where one element of the sequence is mapped into the following member of the sequence. Additionally, several fixed point conclusions are established for various multiplicative contraction mappings with multiplicative closed graphs.