On fixed point results for hemicontractive-type multi-valued mapping, finite families of split equilibrium and variational inequality problems

Tesfalem Hadush Meche, Habtu Zegeye

Research output: Contribution to journalArticle

Abstract

In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algorithm is proved to be strongly convergent to a common solution of these three problems under mild conditions on parameters. Our results improve and generalize many well-known recent results existing in the literature in this field of research.

Original languageEnglish
Pages (from-to)189-217
Number of pages29
JournalSahand Communications in Mathematical Analysis
Volume17
Issue number3
DOIs
Publication statusPublished - Jun 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Numerical Analysis

Fingerprint Dive into the research topics of 'On fixed point results for hemicontractive-type multi-valued mapping, finite families of split equilibrium and variational inequality problems'. Together they form a unique fingerprint.

  • Cite this