A new contraction principle in Menger spaces

被引：80
|
作者：
Choudhury, Binayak S. [1 ]
Das, Krishnapada [1 ]
机构：
[1] Bengal Engn & Sci Univ, Dept Math, Howrah 711103, W Bengal, India
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 08期
关键词：
Menger space; phi-contraction; fixed point;
D O I：
10.1007/s10114-007-6509-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present work we introduce a new type of contraction mapping by using a specific function and obtain certain fixed point results in Menger spaces. The work is in line with the research for generalizing the Banach's contraction principle. We extend the notion of altering distance function to Menger Spaces and obtain fixed point results.
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页码：1379 / 1386
页数：8
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