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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	635903
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/635903
Publication status	Published - 2014

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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}",

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

Abstract

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