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Iterative approximation of common element of solution sets of various nonlinear operator problems
Author(s)
Date Issued
January 1, 2013
Type
Article
Abstract
In this paper, we prove strong convergence theorem for finding a common element of the set of fixed point of a finite family of nonexpansive mappings and a finite family of κi-strictly pseudocontractive mappings and the set of a finite family of the set of solution of equilibrium problems by using the new mapping generated by a finite family of nonexpansive mappings and a finite family of κi-strictly pseudocontractive mappings and a sequences of positive real numbers. Furthermore, by using our main result, we obtain two interesting theorems involving variational inequality problems and variational inclusion problems. In the last section, we give numerical examples to support our main results. ©2013 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2013, 2013