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In this paper, we utilize a previously published fixed point result to investigate the resolution properties of integral equations. Specifically, we explore the existence, uniqueness, and convergence of solutions using an iterative approach. Additionally, we provide an illustrative example to demonstrate the existence of an exact solution and compare it with the approximate solution obtained through the application of the main result from our previous publication. Finally, we analyze the differences between the exact and approximate solutions through a tabular representation of values and a corresponding graph.

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Utilizing Numerical Approaches and Fixed Point Theory for Resolution of Integral Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Abderrahim Mbarki,
  • Mohammed Elberkani,
  • Rachid Naciri

摘要

In this paper, we utilize a previously published fixed point result to investigate the resolution properties of integral equations. Specifically, we explore the existence, uniqueness, and convergence of solutions using an iterative approach. Additionally, we provide an illustrative example to demonstrate the existence of an exact solution and compare it with the approximate solution obtained through the application of the main result from our previous publication. Finally, we analyze the differences between the exact and approximate solutions through a tabular representation of values and a corresponding graph.