Some fixed point theorems for  contraction on b-multiplicative metric spaces

Abstract

This paper establishes common fixed point theorems for two self-mappings in b-multiplicative metric spaces under a weakened condition of -contraction. By utilizing a non-decreasing property instead of stronger traditional assumptions, the study extends existing results within the framework of -contraction. It derives new fixed point theorems and analyzes Jungck’s fixed point theorem in this context. The results demonstrate the existence and uniqueness of common fixed points for two self-mappings in complete b-multiplicative metric spaces. An illustrative example is provided to support and clarify the theoretical findings.