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 - http://scma.maragheh.ac.ir/article_39955.html
L1 - http://scma.maragheh.ac.ir/article_39955_fccbe118a27b5cd60bf3c5d750ffab92.pdf
ER -