Loading...
The modified split generalized equilibrium problem for quasi-nonexpansive mappings and applications
Author(s)
Cheawchan, Kanyarat
Date Issued
January 1, 2018
Type
Article
Abstract
In this paper, we introduce a new problem, the modified split generalized equilibrium problem, which extends the generalized equilibrium problem, the split equilibrium problem and the split variational inequality problem. We introduce a new method of an iterative scheme { xn} for finding a common element of the set of solutions of variational inequality problems and the set of common fixed points of a finite family of quasi-nonexpansive mappings and the set of solutions of the modified split generalized equilibrium problem without assuming a demicloseness condition and Tω: = (1 − ω) I+ ωT, where T is a quasi-nonexpansive mapping and ω∈(0,12); a difficult proof in the framework of Hilbert space. In addition, we give a numerical example to support our main result.
Citation
Journal of Inequalities and Applications, 2018, 2018