Inertial accelerated algorithm for fixed point of asymptotically nonexpansive mapping in real uniformly convex banach spaces

Murtala Haruna Harbau, Godwin Chidi Ugwunnadi*, Lateef Olakunle Jolaoso, Ahmad Abdulwahab

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space. We also establish weak and strong convergence theorems of the scheme. Finally, we give a numerical experiment to validate the performance of our algorithm and compare with some existing methods. Our results generalize and improve some recent results in the literature.

Original languageEnglish
Article number147
JournalAxioms
Volume10
Issue number3
DOIs
Publication statusPublished - Sep 2021

Keywords

  • Asymptotically nonexpansive
  • Fixed point
  • Inertial-accelerated algorithm
  • Uniformly convex spaces

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