Author:
Zhang Jingling,Su Yongfu,Cheng Qingqing
Abstract
Abstract
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.
MSC:47H05, 47H09, 47H10.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Cited by
62 articles.
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