On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping

Adeolu Taiwo*, Lateef O. Jolaoso, O. T. Mewomo, A. Gibali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

In this paper, we propose a new generalized mixed equilibrium problem which includes many existing monotone equilibrium problems and their derivatives. Using the KKM technique, we establish the existence of solutions of the proposed problem under suitable conditions. Furthermore, we introduce an iterative algorithm for solving the problem and prove its strong convergence in Banach spaces. Several numerical examples illustrate the efficiency of the algorithm.

Original languageEnglish
Pages (from-to)1381-1401
Number of pages21
JournalJournal of Nonlinear and Convex Analysis
Volume21
Issue number6
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Existence result
  • KKM technique
  • New generalized mixed equilibrium problem
  • Reflexive Banach space

Fingerprint

Dive into the research topics of 'On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping'. Together they form a unique fingerprint.

Cite this