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<p>The aim of this paper is to establish some common fixed-point theorems for more than one mapping in the context of extended b-metric space using rational-type contractions, and find out the existence and uniqueness of the fixed point of these mappings on extended b-metric space. Our results generalize quite a few of the recent results in the literature in the context of extended b-metric spaces. We also provide some examples and applications related to our result.</p>

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Common fixed point theorems on extended b-metric space using rational-type contraction

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月8日

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  • Nitin Kumar Singh,
  • S. C. Ghosh

摘要

The aim of this paper is to establish some common fixed-point theorems for more than one mapping in the context of extended b-metric space using rational-type contractions, and find out the existence and uniqueness of the fixed point of these mappings on extended b-metric space. Our results generalize quite a few of the recent results in the literature in the context of extended b-metric spaces. We also provide some examples and applications related to our result.