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, Olaniyi Samuel Iyiola
Journal of Advances in Mathematics and Computer Science · pp. 512–527 · Published 16 Nov 2013
10.9734/BJMCS/2014/6698Abstract
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.
Cited by 2
Ali Mohamed Saddeek · Fixed Point Theory and Applications · 2016
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