A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

  • Imo Kalu Agwu
  • , Naeem Saleem
  • , Umar Ishtiaq

Research output: Contribution to journalArticlepeer-review

Abstract

Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let Γ: C −→ C and G: C −→ C be enriched strictly pseu-docontractive mapping and ΦΓ-enriched Lipschitzian mapping respectively. We introduce the above two mappings in uniformly convex Banach space and there-after prove that a new modified mixed-type lshikawa iteration scheme converges strongly to the common fixed points of Γ and G. In addition, we incorporate error terms to enhance the convergence of the method and also to improve the stability and robustness of the method. Our results extend and generalize the results obtained in [5] and so many other recent results currently existing in literature.

Original languageEnglish
Pages (from-to)1-27
Number of pages27
JournalApplied General Topology
Volume26
Issue number1
DOIs
Publication statusPublished - 1 Apr 2025
Externally publishedYes

Keywords

  • common fixed point
  • enriched strictly pseudocontractive mapping
  • modified Ishikawa mixed type iteration scheme
  • strong convergence
  • uniformly convex Banach space
  • Φ-enriched Lipschitzian self mapping

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