Bipolar metric spaces and some fixed point theorems

被引：65

作者：

Mutlu, Ali ^{[1
]}

Gurdal, Utku ^{[1
]}

机构：

[1] Celal Bayar Univ, Dept Math, TR-45110 Yunusemre, Manisa, Turkey

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 09期

关键词：

Fixed point; completeness; contraction; metric space; bipolar metric space;

D O I：

10.22436/jnsa.009.09.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and prove some extensions of known fixed point theorems. (C) 2016 All rights reserved.

引用

页码：5362 / 5373

页数：12

共 9 条

[1] Agarwal R. P., 2012, FIXED POINT THEORY A, V2012
[2] [Anonymous], 2009, Encyclopedia of Distances, DOI DOI 10.1007/978-3-642-00234-21
[3] On generalized weakly G-contraction mapping in G-metric spaces
Aydi, Hassen
Shatanawi, Wasfi
Vetro, Calogero
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4222 - 4229
[4] BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181
[5] Frechet M., 1906, Rend. del Circ. Matem. Palermo, V22, P1, DOI [DOI 10.1007/BF03018603, 10.1007/BF03018603]
[6] Hitzler P., 2001, THESIS
[7] KANNAN R, 1968, BULL CALCUTTA MATH S, V60, P71
[8] Mustafa Z, 2006, J NONLINEAR CONVEX A, V7, P289
[9] Mutlu A, 2015, KUWAIT J SCI, V42, P36

← 1 →