Some new extensions of Banach's contraction principle to partial metric space

被引：106
作者：
Ilic, Dejan [1 ]
Pavlovic, Vladimir [1 ]
Rakocevic, Vladimir [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 08期
关键词：
Fixed point; Banach contraction; Partial metric space;
D O I：
10.1016/j.aml.2011.02.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In S.G. Matthews [S.G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197], the author introduced and studied the concept of partial metric space, and obtained a Banach type fixed point theorem on complete partial metric spaces. In this work we study fixed point results for new extensions of Banach's contraction principle to partial metric space, and we give some generalized versions of the fixed point theorem of Matthews. The theory is illustrated by some examples. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1326 / 1330
页数：5
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