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<p>In this paper, our main result is a coupled coincidence point theorem for a new category of Feng-Liu type contractions. We define some new multivalued versions of admissibility, continuity and lower-semi continuity which are used in the theorems we derived here. One previous result is extended by the present work. We use an example to verify the findings. Our result is shown to be applicable for solving certain systems of coupled integral equations. The work is done in the framework of <i>b</i>-metric spaces and is a part of set-valued analysis.</p>

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Coupled coincidence point result for set-valued Feng-Liu type contractions in b-metric space with application to a system of integral equations

  • 期刊论文

  • 发表日期：

    2026年2月26日

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  • Binayak S. Choudhury,
  • N. Metiya,
  • A. Kundu,
  • S. Kundu

摘要

In this paper, our main result is a coupled coincidence point theorem for a new category of Feng-Liu type contractions. We define some new multivalued versions of admissibility, continuity and lower-semi continuity which are used in the theorems we derived here. One previous result is extended by the present work. We use an example to verify the findings. Our result is shown to be applicable for solving certain systems of coupled integral equations. The work is done in the framework of b-metric spaces and is a part of set-valued analysis.