University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems1892173995510.22130/scma.2019.99206.533ENTesfalem HadushMecheDepartment of Mathematics, College of Natural and Computational Sciences, Aksum University, P.O.Box 1020, Aksum, Ethiopia.HabtuZegeyeDepartment of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana.0000 0002 9273 0830Journal Article20181208In 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.http://scma.maragheh.ac.ir/article_39955_fccbe118a27b5cd60bf3c5d750ffab92.pdf