New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces

We first present some new existence theorems for fixed point problem and minimization problem in compact metric spaces without assuming that mappings possess convexity property. Some applications of our results to new fixed point theorems for nonself mappings in the setting of strictly convex normed...

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Main Authors: Weng-Seng Heng, Wei-Shih Du, Chi-Lin Yen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/635903
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author Weng-Seng Heng
Wei-Shih Du
Chi-Lin Yen
author_facet Weng-Seng Heng
Wei-Shih Du
Chi-Lin Yen
author_sort Weng-Seng Heng
collection DOAJ
description We first present some new existence theorems for fixed point problem and minimization problem in compact metric spaces without assuming that mappings possess convexity property. Some applications of our results to new fixed point theorems for nonself mappings in the setting of strictly convex normed linear spaces and usual metric spaces are also given.
format Article
id doaj-art-abf036539e924fcdb8b40d0ff07ae005
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-abf036539e924fcdb8b40d0ff07ae0052025-08-20T02:20:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/635903635903New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric SpacesWeng-Seng Heng0Wei-Shih Du1Chi-Lin Yen2Department of Applied Mathematics, Chinese Culture University, Taipei 11114, TaiwanDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanDepartment of Mathematics, National Taiwan Normal University, Taipei 11677, TaiwanWe first present some new existence theorems for fixed point problem and minimization problem in compact metric spaces without assuming that mappings possess convexity property. Some applications of our results to new fixed point theorems for nonself mappings in the setting of strictly convex normed linear spaces and usual metric spaces are also given.http://dx.doi.org/10.1155/2014/635903
spellingShingle Weng-Seng Heng
Wei-Shih Du
Chi-Lin Yen
New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
Abstract and Applied Analysis
title New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
title_full New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
title_fullStr New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
title_full_unstemmed New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
title_short New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces
title_sort new existence results for fixed point problem and minimization problem in compact metric spaces
url http://dx.doi.org/10.1155/2014/635903
work_keys_str_mv AT wengsengheng newexistenceresultsforfixedpointproblemandminimizationproblemincompactmetricspaces
AT weishihdu newexistenceresultsforfixedpointproblemandminimizationproblemincompactmetricspaces
AT chilinyen newexistenceresultsforfixedpointproblemandminimizationproblemincompactmetricspaces