TY - JOUR ID - 39955 TI - On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Meche, Tesfalem Hadush AU - Zegeye, Habtu AD - Department of Mathematics, College of Natural and Computational Sciences, Aksum University, P.O.Box 1020, Aksum, Ethiopia. AD - Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana. Y1 - 2020 PY - 2020 VL - 17 IS - 3 SP - 189 EP - 217 KW - Fixed point KW - multi-valued, hemicontractive-type, variational inequality, split equilibrium problems KW - strong convergence KW - Monotone mapping DO - 10.22130/scma.2019.99206.533 N2 - 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. UR - https://scma.maragheh.ac.ir/article_39955.html L1 - https://scma.maragheh.ac.ir/article_39955_cd4e2ee271a4d9761a42d691e710bec7.pdf ER -