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Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems
Author(s)
Date Issued
January 1, 2011
Type
Article
Abstract
In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudocontractive mappings and the set of finite family of variational inclusion problems. © 2011 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2011, 2011