An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces

<p>Abstract</p> <p>The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization pro...

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Main Authors: Su Yongfu, Liu Li, Gu Guanghui
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/717341
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author Su Yongfu
Liu Li
Gu Guanghui
author_facet Su Yongfu
Liu Li
Gu Guanghui
author_sort Su Yongfu
collection DOAJ
description <p>Abstract</p> <p>The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G. Marino and H. K. Xu and some others.</p>
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spelling doaj.art-673565e313964abaafb36e6fea75d3f42022-12-21T22:22:42ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101717341An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert SpacesSu YongfuLiu LiGu Guanghui<p>Abstract</p> <p>The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G. Marino and H. K. Xu and some others.</p>http://www.journalofinequalitiesandapplications.com/content/2010/717341
spellingShingle Su Yongfu
Liu Li
Gu Guanghui
An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
Journal of Inequalities and Applications
title An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
title_full An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
title_fullStr An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
title_full_unstemmed An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
title_short An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
title_sort iterative algorithm of solution for quadratic minimization problem in hilbert spaces
url http://www.journalofinequalitiesandapplications.com/content/2010/717341
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