Application of a New Class of Enriched Nonexpansive Mappings to a Class of Differential Equations

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DOI: https://doi.org/10.28924/2291-8639-24-2026-335
Published: Oct 15, 2026
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Sri Bharathi R, Ashis Bera, Hasanen A. Hammad, Manuel De la Sen, Application of a New Class of Enriched Nonexpansive Mappings to a Class of Differential Equations, Int. J. Anal. Appl., 24 (2026), 335.

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Sri Bharathi R, Ashis Bera, Hasanen A. Hammad, Manuel De la Sen

Abstract

This paper presents the concept of enriched Chatterjea-Suzuki-(C) type nonexpansive mappings in real Banach spaces. For this class, strong and weak convergence theorems are derived using a modified ECM-iterative scheme. To illustrate the theoretical findings, a numerical example is presented, with convergence comparisons against existing schemes supported by graphical and tabular evidence. Furthermore, the practical relevance of the results is demonstrated by applying them to a delay differential equation and a nonlinear fractional integro-differential equation, where the existence and uniqueness of solutions are also addressed.

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