APPROXIMATING COMMON FIXED POINT OF THREE MULTIVALUED MAPPINGS SATISFYING CONDITION (E) IN HYPERBOLIC SPACES

Austine Efut Ofem, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, Jong Kyu Kim*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w2-stability involving three multi-valued almost contraction mappings are considered. Several strong and Δ-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.

Original languageEnglish
Pages (from-to)623-646
Number of pages24
JournalNonlinear Functional Analysis and Applications
Volume28
Issue number3
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Weak w-stability
  • multivalued almost contraction mappings
  • multivalued mappings satisfying condition (E)
  • strong and Δ-convergence

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