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Iterative methods for finding common solution of generalized equilibrium problems and variational inequality problems and fixed point problems of a finite family of nonexpansive mappings
Author(s)
Date Issued
December 1, 2010
Type
Article
Abstract
We introduce a new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S -mapping generated by a finite family of nonexpansive mappings and real numbers. Then, we prove a strong convergence theorem of the proposed iteration under some control condition. By using our main result, we obtain strong convergence theorem for finding a common element of the set of solution of a system of generalized equilibrium problems, system of variational inequality problems, and the set of common fixed points of a finite family of strictly pseudocontractive mappings. Copyright © 2010 Atid Kangtunyakarn.
Citation
Fixed Point Theory and Applications, 2010, 2010