Damped Algorithms for the Split Fixed Point and Equilibrium Problems

The main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. Strong convergence analysi...

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Main Authors: Li-Jun Zhu, Minglun Ren
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/735941
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author Li-Jun Zhu
Minglun Ren
author_facet Li-Jun Zhu
Minglun Ren
author_sort Li-Jun Zhu
collection DOAJ
description The main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. Strong convergence analysis is shown.
format Article
id doaj-art-ceb4cea0fe8e4927a9e8696a9d3deee4
institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-ceb4cea0fe8e4927a9e8696a9d3deee42025-02-03T06:11:38ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/735941735941Damped Algorithms for the Split Fixed Point and Equilibrium ProblemsLi-Jun Zhu0Minglun Ren1School of Management, Hefei University of Technology, Hefei 230009, ChinaSchool of Management, Hefei University of Technology, Hefei 230009, ChinaThe main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. Strong convergence analysis is shown.http://dx.doi.org/10.1155/2013/735941
spellingShingle Li-Jun Zhu
Minglun Ren
Damped Algorithms for the Split Fixed Point and Equilibrium Problems
Journal of Function Spaces and Applications
title Damped Algorithms for the Split Fixed Point and Equilibrium Problems
title_full Damped Algorithms for the Split Fixed Point and Equilibrium Problems
title_fullStr Damped Algorithms for the Split Fixed Point and Equilibrium Problems
title_full_unstemmed Damped Algorithms for the Split Fixed Point and Equilibrium Problems
title_short Damped Algorithms for the Split Fixed Point and Equilibrium Problems
title_sort damped algorithms for the split fixed point and equilibrium problems
url http://dx.doi.org/10.1155/2013/735941
work_keys_str_mv AT lijunzhu dampedalgorithmsforthesplitfixedpointandequilibriumproblems
AT minglunren dampedalgorithmsforthesplitfixedpointandequilibriumproblems