A FIXED POINT RESULT IN MENGER SPACES USING A REAL FUNCTION

被引：26

作者：

Choudhury, B. S. ^{[1
]}

Das, K. ^{[1
]}

Dutta, P. N. ^{[2
]}

机构：

[1] Bengal Engn & Sci Univ, Dept Math, Howrah 711103, W Bengal, India

[2] Govt Coll Engn & Ceram Technol, Dept Math, Kolkata 700010, W Bengal, India

来源：

ACTA MATHEMATICA HUNGARICA | 2009年 / 122卷 / 03期

关键词：

Menger space; Cauchy sequence; fixed point; ALTERING DISTANCES; THEOREMS; PRINCIPLE;

D O I：

10.1007/s10474-008-7242-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main result of this paper is a fixed point theorem of self mappings in Menger spaces which satisfy certain inequality. This inequality involves a class of real functions which we call Phi-functions. As a corollary we obtain a result in the corresponding metric spaces. The result is supported by an example. The class of real functions we have used is the conceptual extension of altering distance functions used in metric fixed point theory.

引用

页码：203 / 216

页数：14