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  4. An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities
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An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities

Author(s)
Kangtunyakarn, Atid
Date Issued
January 1, 2013
Type
Article
DOI
10.1186/1687-1812-2013-143
Abstract
In this paper, we introduce a new iterative algorithm for finding a common element of the set of fixed points of a finite family of κi- strictly pseudo-contractive mappings and the set of solutions of new variational inequalities problems in Hilbert space. By using our main results, we obtain an interesting theorem involving a finite family of κ-strictly pseudo-contractive mappings and two sets of solutions of the variational inequalities problem. © 2013 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2013, 2013
Subjects

Modification of a gen...

Pseudo-contractive ma...

S-mapping

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