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  4. The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem
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The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem

Author(s)
Suwannaut, Sarawut
Kangtunyakarn, Atid
Date Issued
January 1, 2013
Type
Article
DOI
10.1186/1687-1812-2013-291
Abstract
For the purpose of this article, we introduce a new problem using the concept of equilibrium problem and prove the strong convergence theorem for finding a common element of the set of fixed points of an infinite family of κi-strictly pseudo contractive mappings and of a finite family of the set of solutions of equilibrium problem and variational inequalities problem. Furthermore, we utilize our main theorem for the numerical example. ©2013 Suwannaut and Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2013, 2013
Subjects

S-mapping

Strictly pseudo-contr...

Variational inequalit...

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