A Fixed Point Scheme for Nonexpansive Mappings, Variational Inequalities and Equilibrium Problems
https://doi.org/10.1007/s10013-014-0068-0Publisher, magazine: ,
Publication year: 2015
Lưu Trích dẫn Chia sẻAbstract
The purpose of this paper is to introduce a new iteration scheme and prove a strong convergence theorem for finding a common element of the fixed point set of a nonexpansive mapping, the solution set of variational inequalities and the solution set of equilibrium problems. Under certain conditions on parameters, we show that the iterative sequences generated by the scheme strongly converge to a common element in a real Hilbert space.
Tags: Nonexpansive, Pseudomonotone, Continuous, Fixed point, Variational inequalities, Equilibrium problems
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A Fixed Point Scheme for Nonexpansive Mappings, Variational Inequalities and Equilibrium Problems