Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators
<p/> <p>The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set <it>EP</it> of a generalized equilibrium problem and the set <inline-formula> <graphic file="1687-1812-2010...
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Series: | Fixed Point Theory and Applications |
Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/590278 |
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doaj-55c1120f166842ce98af125180404b1b2020-11-24T20:49:48ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101590278Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone OperatorsYao J-CShyu DavidSAnsari QHZeng L-C<p/> <p>The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set <it>EP</it> of a generalized equilibrium problem and the set <inline-formula> <graphic file="1687-1812-2010-590278-i1.gif"/></inline-formula> for two maximal monotone operators <inline-formula> <graphic file="1687-1812-2010-590278-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-590278-i3.gif"/></inline-formula> defined on a Banach space <inline-formula> <graphic file="1687-1812-2010-590278-i4.gif"/></inline-formula>. Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.</p>http://www.fixedpointtheoryandapplications.com/content/2010/590278 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yao J-C Shyu DavidS Ansari QH Zeng L-C |
spellingShingle |
Yao J-C Shyu DavidS Ansari QH Zeng L-C Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators Fixed Point Theory and Applications |
author_facet |
Yao J-C Shyu DavidS Ansari QH Zeng L-C |
author_sort |
Yao J-C |
title |
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators |
title_short |
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators |
title_full |
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators |
title_fullStr |
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators |
title_full_unstemmed |
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators |
title_sort |
strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators |
publisher |
SpringerOpen |
series |
Fixed Point Theory and Applications |
issn |
1687-1820 1687-1812 |
publishDate |
2010-01-01 |
description |
<p/> <p>The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set <it>EP</it> of a generalized equilibrium problem and the set <inline-formula> <graphic file="1687-1812-2010-590278-i1.gif"/></inline-formula> for two maximal monotone operators <inline-formula> <graphic file="1687-1812-2010-590278-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-590278-i3.gif"/></inline-formula> defined on a Banach space <inline-formula> <graphic file="1687-1812-2010-590278-i4.gif"/></inline-formula>. Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.</p> |
url |
http://www.fixedpointtheoryandapplications.com/content/2010/590278 |
work_keys_str_mv |
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1716805659145535488 |