Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces

碩士 === 國立高雄師範大學 === 數學系 === 105 === In this paper, we first introduce the concept of uniformly locally contractive mapping. Second, complete metric space is modified to be a connected complete metric space. Third, Our generalization of the Banach contraction principle replaces the global contraction...

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Main Authors:	Wu, Chien-Lung, 吳建龍
Other Authors:	Lin, Ing-Jer
Format:	Others
Language:	en_US
Published:	2017
Online Access:	http://ndltd.ncl.edu.tw/handle/86818039267794315774

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spelling	ndltd-TW-105NKNU04790042017-06-16T04:28:36Z http://ndltd.ncl.edu.tw/handle/86818039267794315774 Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces 在連通完備度量空間中對均勻局部Geraghty收縮映射之固定點定理 Wu, Chien-Lung 吳建龍碩士國立高雄師範大學數學系 105 In this paper, we first introduce the concept of uniformly locally contractive mapping. Second, complete metric space is modified to be a connected complete metric space. Third, Our generalization of the Banach contraction principle replaces the global contraction hypothesis with the local contraction hypothesis. Then we investigate the behavior for mappings satisfying uniformly locally Geraghty contraction on connected complete metric space. Finally, we establish a new existence and uniqueness result of fixed point theorem. Lin, Ing-Jer 林英哲 2017 學位論文 ; thesis 23 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立高雄師範大學 === 數學系 === 105 === In this paper, we first introduce the concept of uniformly locally contractive mapping. Second, complete metric space is modified to be a connected complete metric space. Third, Our generalization of the Banach contraction principle replaces the global contraction hypothesis with the local contraction hypothesis. Then we investigate the behavior for mappings satisfying uniformly locally Geraghty contraction on connected complete metric space. Finally, we establish a new existence and uniqueness result of fixed point theorem.
author2	Lin, Ing-Jer
author_facet	Lin, Ing-Jer Wu, Chien-Lung 吳建龍
author	Wu, Chien-Lung 吳建龍
spellingShingle	Wu, Chien-Lung 吳建龍 Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
author_sort	Wu, Chien-Lung
title	Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
title_short	Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
title_full	Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
title_fullStr	Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
title_full_unstemmed	Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces
title_sort	fixed point theorem of uniformly locally geraghty contractive mappings on connected complete metric spaces
publishDate	2017
url	http://ndltd.ncl.edu.tw/handle/86818039267794315774
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Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces

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