On best proximity point of ψ-Geraghty contractions

被引：26

作者：

Karapinar, Erdal ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

best proximity point; non-self mapping; partial order; metric space; fixed point; PAIR THEOREMS; CONVERGENCE; EXISTENCE; MAPPINGS;

D O I：

10.1186/1687-1812-2013-200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012: 231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduce the notion of psi-Geraghty contractions and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space. We state examples to illustrate our result.

引用

页数：9

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