An explicit subgradient extragradient algorithm with self-adaptive stepsize for pseudomonotone equilibrium problems in Banach spaces

Lateef Olakunle Jolaoso*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce an explicit subgradient extragradient algorithm for solving equilibrium problem with a bifunction satisfying pseudomonotone and Lipschitz-like condition in a 2-uniformly convex and uniformly smooth Banach space. We also defined a new self-adaptive stepsize rule and prove a convergence result for solving the equilibrium problem without any prior estimate of the Lipschitz-like constants of the bifunction. Furthermore, we provide some numerical examples to illustrate the efficiency and accuracy of the proposed algorithm. This result improves and extends many recent results in this direction in the literature.

Original languageEnglish
Pages (from-to)583-610
Number of pages28
JournalNumerical Algorithms
Volume89
Issue number2
DOIs
Publication statusPublished - Feb 2022

Keywords

  • Banach spaces
  • Equilibrium problem
  • Extragradient method
  • Pseudomonotone
  • Self adaptive stepsize

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