Common fixed point theorems in Menger spaces with common property (E.A)

被引：11

作者：

Ali, Javid ^{[1
]}

Imdad, M. ^{[2
]}

Bahuguna, D. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 12期

关键词：

Menger space; Property (E.A); Common property (E.A); Weakly compatible mappings and t-norm; COMPATIBLE MAPS; COINCIDENCE;

D O I：

10.1016/j.camwa.2010.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper, we introduce the notion of common property (E.A) in Menger spaces besides proving a result interrelating the property (E.A) with common property (E.A). Thereafter, using the common property (E.A), some common fixed point theorems are proved for self mappings in Menger spaces which include results involving quasi-contraction as well as phi-type contraction. Our results generalize several known results in Menger as well as metric spaces. Some related results are also derived besides furnishing an illustrative example. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3152 / 3159

页数：8

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