A generalized contraction principle with control functions on partial metric spaces

被引：76

作者：

Abdeljawad, Thabet ^{[1
]}

Karapinar, Erdal ^{[2
]}

Tas, Kenan ^{[1
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 03期

关键词：

Partial metric space; Fixed point; Generalized contraction principle; Control functions; FIXED-POINT THEOREMS;

D O I：

10.1016/j.camwa.2011.11.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and psi on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：716 / 719

页数：4