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In the present manuscript, we familiarize F-contraction in \(C^*\) -algebra valued metric space and create an environment for the existence of a unique common fixed point for two pairs of weakly compatible mappings in this framework. We reduce the conditions of F-contraction by using E.A. and CLR properties. We also present some examples to elaborate \(C^*\) -algebra valued metric space and validate our results.

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Common Fixed Point for Pairs of Weakly Compatible Mappings Using F-Contraction

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  • 发表日期：

    2025年

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  • Rishi Dhariwal,
  • Deepak Kumar

摘要

In the present manuscript, we familiarize F-contraction in \(C^*\) -algebra valued metric space and create an environment for the existence of a unique common fixed point for two pairs of weakly compatible mappings in this framework. We reduce the conditions of F-contraction by using E.A. and CLR properties. We also present some examples to elaborate \(C^*\) -algebra valued metric space and validate our results.