Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces

Lateef Olakunle Jolaoso*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Motivated by the work of D.V. Hieu and J.-J. Strodiot [Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces, J. Fixed Point Theory Appl., (2018), 20:131], we introduce a new projected subgradient method for solving pseudomonotone equilibrium and fixed point problem in Banach spaces. The main iterative steps in the proposed method use a projection method and do not require any Lipschitz-like condition on the equilibrium bifunction. A strong convergence result is proved under mild conditions and we applied our algorithm to solving pseudomonotone variational inequalities in Banach spaces. Also, we provide some numerical examples to illustrate the performance of the proposed method and compare it with other methods in the literature.

Original languageEnglish
Article number101
JournalComputational and Applied Mathematics
Volume40
Issue number3
DOIs
Publication statusPublished - Apr 2021

Keywords

  • Banach spaces
  • Equilibrium problem
  • Extragradient method
  • Phi-quasi-Fejer monotone
  • Projection method
  • Pseudomonotone

Fingerprint

Dive into the research topics of 'Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces'. Together they form a unique fingerprint.

Cite this