A New Iterative Scheme for Common Solution of Equilibrium Problems, Variational Inequalities and Fixed Point of k-strictly Pseudo-contractive Mappings in Hilbert Spaces
Cyril Dennis Enyi *
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Saudi Arabia.
Olaniyi Samuel Iyiola
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we present a new iterative scheme for finding a common point among the set of solution of equilibrium problems, the set of solution to a variational inequality problem and the fixed point set of 
-strictly pseudo-contractive mappings in a real Hilbert space. We then prove that the proposed scheme converges strongly to a common element which is the solution of a variational inequality problem, system of equilibrium problems, and a fixed point of 
-strictly pseudo-contractive mappings. These results improve and generalize recent works in this direction.
Keywords: Fixed point, Nonexpansive mapping, -strictly pseudo-contractive mappings, System of equilibrium problems, Variational inequality problem.