Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods

Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods

<p/> <p>The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of find...

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Main Authors: Liou YeongCheng, Naraghirad Eskandar, Ceng LuChuan
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/282171
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spelling doaj-b726be4cfed742cf915e28dce6612c382020-11-24T22:20:28ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111282171Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point MethodsLiou YeongChengNaraghirad EskandarCeng LuChuan<p/> <p>The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of finding a minimizer of a convex function.</p>http://www.fixedpointtheoryandapplications.com/content/2011/282171
collection DOAJ
language English
format Article
sources DOAJ
author Liou YeongCheng
Naraghirad Eskandar
Ceng LuChuan
spellingShingle Liou YeongCheng
Naraghirad Eskandar
Ceng LuChuan
Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
Fixed Point Theory and Applications
author_facet Liou YeongCheng
Naraghirad Eskandar
Ceng LuChuan
author_sort Liou YeongCheng
title Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
title_short Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
title_full Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
title_fullStr Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
title_full_unstemmed Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
title_sort iterative approaches to find zeros of maximal monotone operators by hybrid approximate proximal point methods
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2011-01-01
description <p/> <p>The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of finding a minimizer of a convex function.</p>
url http://www.fixedpointtheoryandapplications.com/content/2011/282171
work_keys_str_mv AT liouyeongcheng iterativeapproachestofindzerosofmaximalmonotoneoperatorsbyhybridapproximateproximalpointmethods
AT naraghiradeskandar iterativeapproachestofindzerosofmaximalmonotoneoperatorsbyhybridapproximateproximalpointmethods
AT cengluchuan iterativeapproachestofindzerosofmaximalmonotoneoperatorsbyhybridapproximateproximalpointmethods
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