A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces

H. A. Abass*, M. Aphane, O. K. Oyewole

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial extrapolation method for solving the resolvent of sum of two monotone operators without the knowledge of the Lipschitz constant was established. Lastly, we illustrate some numerical behavior of our iterative scheme to showcase the performance of the proposed method compared to other related results in the literature.

Original languageEnglish
Article number17
JournalFixed Point Theory and Applications
Volume2023
Issue number1
DOIs
Publication statusPublished - Dec 2023

Keywords

  • Bregman strongly nonexpansive mapping
  • Iterative method
  • Lipschitz continuous
  • Monotone inclusion problem

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