New existence results for fixed point problem and minimization problem in compact metric spaces

Weng Seng Heng; Wei Shih Du; Chi Lin Yen

doi:10.1155/2014/635903

New existence results for fixed point problem and minimization problem in compact metric spaces

Weng Seng Heng
, Wei Shih Du^*
, Chi Lin Yen

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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.

原文	英語
文章編號	635903
期刊	Abstract and Applied Analysis
卷	2014
DOIs	https://doi.org/10.1155/2014/635903
出版狀態	已發佈 - 2014

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10.1155/2014/635903

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title = "New existence results for fixed point problem and minimization problem in compact metric spaces",

abstract = "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.",

author = "Heng, \{Weng Seng\} and Du, \{Wei Shih\} and Yen, \{Chi Lin\}",

year = "2014",

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journal = "Abstract and Applied Analysis",

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AB - 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.

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New existence results for fixed point problem and minimization problem in compact metric spaces

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