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

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

doi:10.28924/2291-8639-24-2026-335

Research Article

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

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

* Corresponding author

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.

How to Cite

S. Bharathi R, A. Bera, H. A. Hammad, M. 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. https://doi.org/10.28924/2291-8639-24-2026-335

BibTeX

@article{R2026,
  author  = {Bharathi R, Sri and Bera, Ashis and Hammad, Hasanen A. and De la Sen, Manuel},
  title   = {Application of a New Class of Enriched Nonexpansive Mappings to a Class of Differential Equations},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {335},
  doi     = {10.28924/2291-8639-24-2026-335}
}

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