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<p>The main goal of this study is to first provide a version of the degree of nondensifiability in a generalized Banach space in the sense of Perov and to present some vectorial versions of some generalized Darbo’s fixed point theorem in this context using the vector degree of nondensifiability and matrices converging to zero. Second, we apply these theorems to coupled integro-differential equations in the generalized Banach space using the resolvent operator. An illustrative example is included to validate the study’s results.</p>

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DARBO-TYPE FIXED POINT THEOREMS VIA THE VECTOR DEGREE OF NONDENSIFIABILITY AND APPLICATIONS

  • 期刊论文

  • 发表日期：

    2025年4月2日

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  • Abdelhamid Bensalem,
  • Abdelkrim Salim,
  • Mouffak Benchohra,
  • Yong Zhou

摘要

The main goal of this study is to first provide a version of the degree of nondensifiability in a generalized Banach space in the sense of Perov and to present some vectorial versions of some generalized Darbo’s fixed point theorem in this context using the vector degree of nondensifiability and matrices converging to zero. Second, we apply these theorems to coupled integro-differential equations in the generalized Banach space using the resolvent operator. An illustrative example is included to validate the study’s results.