On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems

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Meche Tesfalem Hadush; Zegeye Habtu

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:3 Page(s): 189-217

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Information Journal Paper

Title

On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems

Author(s)

Meche Tesfalem Hadush | Zegeye Habtu | Issue Writer Certificate

Keywords

Fixed point

multi-valued

hemicontractive-type

variational inequality

split equilibrium problems

strong convergence

Monotone mapping

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.

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