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.
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页数：9
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