A note on ‘A best proximity point theorem for Geraghty-contractions’

被引：0
|
作者：
Jingling Zhang
Yongfu Su
Qingqing Cheng
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
Geraghty-contractions; fixed point; best proximity point; weak ; -property;
D O I：
暂无
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学科分类号：
摘要：
In Caballero et al. (Fixed Point Theory Appl. (2012). doi:10.1186/1687-1812-2012-231), the authors prove a best proximity point theorem for Geraghty nonself contraction. In this note, not only P-property has been weakened, but also an improved best proximity point theorem will be presented by a short and simple proof. An example which satisfies weak P-property but not P-property has been presented to demonstrate our results.
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