Approximating the solution of a nonlinear delay integral equation by an efficient iterative algorithm in hyperbolic spaces

Austine Efut Ofem, Hüseyin Işik, Godwin Chidi Ugwunnadi, Reny George*, Ojen Kumar Narain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In this article, we propose the modified AH iteration process in Hyperbolic spaces to approximate the fixed points of mappings enriched with condition (E). The data dependence result of the proposed iteration process is studied for almost contraction mappings. Further, we obtain several new strong and △-convergence results of the proposed iteration algorithm for the class of mappings enriched with the condition (E). Also, we illustrate the efficiency of our results over existing results in literature with the aid of some numerical examples. Finally, we use our main results to find the solution of nonlinear integral equation with two delays.

Original languageEnglish
Pages (from-to)14919-14950
Number of pages32
JournalAIMS Mathematics
Volume8
Issue number7
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Hyperbolic space
  • almost contraction mapping, mappings satisfying condition (E) and nonlinear integral equation
  • data dependence
  • strong and △-convegence

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