Modified w-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces

被引：16
|
作者：
Alegre, Carmen [1 ]
Marin, Josefa [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Cami Vera S-N, E-46022 Valencia, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2016年 / 203卷
关键词：
Fixed point; Generalized contraction; w-distance; mw-distance; Complete quasi-metric space;
D O I：
10.1016/j.topol.2015.12.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the notion of modified w-distance (mw-distance) on a quasi-metric space which generalizes the concept of quasi-metric. We obtain a fixed point theorem for generalized contractions with respect to mw-distances on complete quasi-metric spaces. (C) 2016 Elsevier B.V. All rights reserved.
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页码：32 / 41
页数：10
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