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In this paper, we study strong and \(\Delta -\) convergence of the four step CUIA-iterative scheme in case of monotone non-expansive mappings defined in partially ordered hyperbolic metric spaces. Further, weak \(w^{2} -\) stability results are established and as an application, we investigate the existence of a unique solution of the integral equations. Some examples to show the convergence behavior of the suggested process are also provided for simple illustration.

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Some Convergence Results for CUIA Iterative Scheme in Partially Ordered Hyperbolic Metric Spaces

  • 会议论文

  • 发表日期：

    2025年

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  • Sucheta Yadav,
  • Bhagwati Prasad Chamola

摘要

In this paper, we study strong and \(\Delta -\) convergence of the four step CUIA-iterative scheme in case of monotone non-expansive mappings defined in partially ordered hyperbolic metric spaces. Further, weak \(w^{2} -\) stability results are established and as an application, we investigate the existence of a unique solution of the integral equations. Some examples to show the convergence behavior of the suggested process are also provided for simple illustration.