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The methods for variational inequality problems and fixed point of κ-strictly pseudononspreading mapping

Author(s)
Kangtunyakarn, Atid
Date Issued
January 1, 2013
Type
Article
DOI
10.1186/1687-1812-2013-171
Abstract
In this paper, we introduce the methods for finding a common element of the set of fixed points of a κ-strictly pseudononspreading mapping and a finite family of the set of solutions of variational inequality problems. The strong convergence theorem of the proposed method is established under some suitable control conditions. Moreover, by using our main result, we prove interesting theorem involving an iterative scheme for finding a common element of the set of fixed points of a κ-strictly pseudononspreading mapping and a finite family of the set of fixed points of a κi-strictly pseudocontractive mappings. © 2013 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2013, 2013
Subjects

Strictly pseudocontra...

Variational inequalit...

κ-strictly pseudonons...

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