Fixed points of operators with multiplicative closed graphs on bipolar b-multiplicative metric spaces

Abstract

This work focusses on fixed point iterations of a multiplicative contraction mapping on the bipolar b-metric space domain. We develop a map that maps points from one set in the series to the next and fulfils the multiplicative contraction condition with regard to an expanding sequence of subsets in a bipolar b-multiplicative metric space. In this manner, we provide many fixed-point theorems for different multiplicative contraction mappings with multiplicative closed graph. This comprehensive study greatly contributes to the identification of fixed-point theory inside the multiplicative metric spaces framework and generates significant predictions.