International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2017
Number 5
2017
September
Friday
Approximation of Common Solutions of Fixed Point Problem for Hemicontractive-type Mapping, Split Equilibrium and Variational Inequality Problems
70
89
EN
Tesfalem
Hadush
Meche
Department of Mathematics, College of Natural and Computational Sciences, Jigjiga University, P.O.Box 1020,
Jigjiga, Ethiopia.
tesfalemh78@gmail.com
Habtu
Zegeye
2Department of Mathematics and Statistical Sciences, College of Sciences, Botswana International University of
Science and Technology, Private Mail Bag 16, Palapye, Botswana.
habtuzh@yahoo.com
In this paper, we introduce and study an iterative approximation method for finding a common element of the set
of fixed points of multi-valued hemicontractive-type mapping, the set of solutions of split equilibrium problem and the set of
solutions of variational inequality problem for continuous monotone mapping in real Hilbert spaces. Furthermore, we proved
strong convergence theorem for the sequences generated by the proposed iterative algorithm under some conditions imposed
on parameters. Our results improve and generalize most of the results that have been previously proved by some authors recently.
Demiclosedness principle, Fixed point problem, hemicontractive-type multi-valued mapping, split
equilibrium problem, variational inequality problem.
http://adv-math.com/2017/09/01/tesfalem-hadush-meche-habtu-zegeye-approximation-common-solutions-fixed-point-problem-hemicontractive-type-mapping-split-equilibrium-variational-inequality-problems-volume-2017-n/
http://adv-math.com/wp-content/uploads/2017/09/Final-Version-4.pdf