%0 Journal Article
%T On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Meche, Tesfalem Hadush
%A Zegeye, Habtu
%D 2020
%\ 07/01/2020
%V 17
%N 3
%P 189-217
%! On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems
%K Fixed point
%K multi-valued, hemicontractive-type, variational inequality, split equilibrium problems
%K strong convergence
%K Monotone mapping
%R 10.22130/scma.2019.99206.533
%X 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.
%U http://scma.maragheh.ac.ir/article_39955_fccbe118a27b5cd60bf3c5d750ffab92.pdf