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<p>A best proximity point theorem is developed in this study by using a newly constructed contraction operator. In fact, we used the achievements to investigate the existence of an optimum solution for a Katugampola fractional integral equation when binary equations have similar solutions at the same time. The equations can be analyzed with the usage of tools such as measure of noncompactness and some auxiliary functions. Additionally, an example is demonstrated to confirm our achievements.</p>

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Best proximity point theorems on the optimum solution for coupled system of Katugampola fractional integral equations via measure of noncompactness

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • Mallika Sarmah,
  • Moosa Gabeleh,
  • Anupam Das,
  • Mohammad Esmael Samei

摘要

A best proximity point theorem is developed in this study by using a newly constructed contraction operator. In fact, we used the achievements to investigate the existence of an optimum solution for a Katugampola fractional integral equation when binary equations have similar solutions at the same time. The equations can be analyzed with the usage of tools such as measure of noncompactness and some auxiliary functions. Additionally, an example is demonstrated to confirm our achievements.