On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 3)Publication Date: 2020-07-01
Authors : Tesfalem Hadush Meche; Habtu Zegeye;
Page : 189-217
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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