Identicalness of certain results and fixed-point theorems in bS-multiplicative metric space

Abstract

In this paper, we introduce bS-multiplicative metric space and establish several fixed point theorems on contraction mappings like Banach contraction and Kannan contraction in this space. We also demonstrate fixed-point results for identicalness bS-multiplicative metric space with analogous fixed-point results in S-multiplicative space. Non-trivial example is further provided to support the hypotheses of our results.