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Convergence theorem for solving the combination of equilibrium problems and fixed point problems in Hilbert spaces

Author(s)
Suwannaut, Sarawut
Kangtunyakarn, Atid
Date Issued
January 1, 2016
Type
Article
Abstract
In this article, we propose an iterative algorithm for approximating a common element of solution sets of equilibrium problems, the fixed point sets of nonspreading mappings and the fixed point sets of κi-strictly pseudo contractive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative scheme converges strongly to a common element of those three sets. Finally, to support our main results, the numerical examples are given.
Citation
Thai Journal of Mathematics, 14(SpecialIssueACFPTO2016), 77-97, 2016
Subjects

Equilibrium problem

Fixed point

Hilbert space

Nonspreading mapping

Strictly-pseudo contr...

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