Common fixed points of strict contractions in Menger spaces

被引：12

作者：

Ali, J. ^{[2
]}

Imdad, M. ^{[1
]}

Mihet, D. ^{[3
]}

Tanveer, M. ^{[4
]}

机构：

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

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

[3] W Univ Timisoara, Fac Math & Comp Sci, Timisoara 300223, Romania

[4] Jawaharlal Nehru Univ, Sch Comp & Syst Sci, New Delhi 110067, India

来源：

ACTA MATHEMATICA HUNGARICA | 2011年 / 132卷 / 04期

关键词：

Menger space; common property (E.A); weakly compatible mapping and t-norm; COMPATIBLE MAPS; THEOREMS; COINCIDENCE;

D O I：

10.1007/s10474-011-0105-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove some common fixed point theorems under certain strict contractive conditions for mappings sharing the common property (E.A) in Menger spaces. As applications to our results, we obtain the corresponding common fixed point theorems under strict contraction in metric spaces. Thus, our results generalize many known results in Menger as well as metric spaces. Some related results are also derived besides presenting several illustrative examples.

引用

页码：367 / 386

页数：20

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