ON PSEUDOMONOTONE EQUILIBRIUM AND FIXED POINT PROBLEMS IN HADAMARD SPACES WITH APPLICATIONS

Rose Maluleka, Godwin C. Ugwunnadi*, Christian C. Okeke, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce a hybrid extragradient method for approximating a common solution of a finite family of equilibrium problems associated with pseudomonotone bifunctions and a fixed point problem of a generalized demimetric mapping. Under suitable conditions, we prove a strong convergence theorem in Hadamard spaces. Finally, in order to further support our main results, we provide a numerical experiment and an example of a pseudomonotone bifunction in Hadamard spaces.

Original languageEnglish
Article number7
JournalJournal of Nonlinear Functional Analysis
Volume2024
DOIs
Publication statusPublished - 2024

Keywords

  • CAT(0) space
  • D-convergence
  • Extragradient method
  • Generalized Demimetric mapping
  • Pseudomonotone equilibrium problem

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