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  4. Algorithm of a new variational inclusion problem and strictly pseudononspreading mapping with application
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Algorithm of a new variational inclusion problem and strictly pseudononspreading mapping with application

Author(s)
Khuangsatung, Wongvisarut
Kangtunyakarn, Atid
Date Issued
December 22, 2014
Type
Article
DOI
10.1186/1687-1812-2014-209
Abstract
The purpose of this research is to modify the variational inclusion problems and prove a strong convergence theorem for finding a common element of the set of fixed points of a κ-strictly pseudononspreading mapping and the set of solutions of a finite family of variational inclusion problems and the set of solutions of a finite family of equilibrium problems in Hilbert space. By using our main result, we prove a strong convergence theorem involving a κ-quasi-strictly pseudo-contractive mapping in Hilbert space. We give a numerical example to support some of our results.
Citation
Fixed Point Theory and Applications, 2014(1), 2014
Subjects

equilibrium problem

fixed point problem

resolvent operator

variational inclusion...

κ-strictly pseudonons...

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