A CHARACTERIZATION OF COMPLETENESS OF GENERALIZED METRIC SPACES USING GENERALIZED BANACH CONTRACTION PRINCIPLE

被引：0

作者：

Ghosh, Piu ^{[1
]}

Ray, A. ^{[1
]}

机构：

[1] West Bengal State Univ, Dept Math, Malikapur 700126, WB, India

来源：

DEMONSTRATIO MATHEMATICA | 2012年 / 45卷 / 03期

关键词：

eneralised metric space; generalized Banach's contraction maps;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach's fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that, using such contraction principle, completeness of the generalized metric space can be characterized.

引用

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页码：717 / 724

页数：8

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