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The manuscript examines the \( A_{\nu }-\upalpha \) contraction on a double controlled metric type space. With this contraction, we demonstrate theorems on fixed point and common fixed point. Furthermore, we leverage our major findings to prove that a Fredholm integral equation has a unique solution.

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Fixed Point and Common Fixed Point Results on Double Controlled Metric Type Space with a  \( A_{\nu }-\upalpha \) Contraction

  • 会议论文

  • 发表日期：

    2025年

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  • J. Grace Margrate Mary,
  • R. Uthayakumar,
  • Nur Aisyah Abdul Fataf

摘要

The manuscript examines the \( A_{\nu }-\upalpha \) contraction on a double controlled metric type space. With this contraction, we demonstrate theorems on fixed point and common fixed point. Furthermore, we leverage our major findings to prove that a Fredholm integral equation has a unique solution.