Some fixed point theorems for contraction on b-multiplicative metric spaces
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https://doi.org/10.58414/SCIENTIFICTEMPER.2025.16.5.05Keywords:
Unique Fixed point, two mappings, b-multiplicative metric space(b-MMS), F contraction, non-decreasing property, Cauchy sequence, continuous functionDimensions Badge
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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.Abstract
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