On a pair of fuzzy φ-contractive mappings

被引：47

作者：

Azam, Akbar ^{[3
]}

Arshad, Muhammad ^{[2
]}

Vetro, Pasquale ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

[2] Int Islamic Univ, Dept Math, Islamabad 44000, Pakistan

[3] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 1-2期

关键词：

Fixed point; Common fixed point; Contractive type mapping; Fuzzy mapping; FIXED-POINT THEOREMS; SPACE; MAPS;

D O I：

10.1016/j.mcm.2010.02.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We establish common fixed point theorems for fuzzy mappings under phi-contraction condition on a metric space with the d(infinity)-metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d(infinity)-metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：207 / 214

页数：8

共 20 条

[1] Common fixed point theorems for fuzzy mappings in metric space under φ-contraction condition [J].

Abu-Donia, H. M. .

CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :538-543

[2] Fixed point theorems for fuzzy mappings [J].

Arora, SC ;

Sharma, V .

FUZZY SETS AND SYSTEMS, 2000, 110 (01) :127-130

[3] Fixed points of fuzzy contractive and fuzzy locally contractive maps [J].

Azam, Akbar ;

Arshad, Muhammad ;

Beg, Ismat .

CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2836-2841

[4] Common fixed points of fuzzy maps [J].

Azam, Akbar ;

Beg, Ismat .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1331-1336

[5] FIXED-POINTS OF ASYMPTOTICALLY REGULAR MULTIVALUED MAPPINGS [J].

BEG, I ;

AZAM, A .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 53 :313-326

[6] FUZZY MAPPINGS AND FIXED-POINT THEOREMS [J].

BOSE, RK ;

SAHANI, D .

FUZZY SETS AND SYSTEMS, 1987, 21 (01) :53-58

[7] FIXED-POINTS FOR FUZZY MAPPINGS [J].

BUTNARIU, D .

FUZZY SETS AND SYSTEMS, 1982, 7 (02) :191-207

[8]

Edelstein M., 1962, J. London Math. Soc, V37, P74, DOI [10.1112/jlms/s1-37.1.74, DOI 10.1112/JLMS/S1-37.1.74]

[9]

Edelstein M., 1961, Proc.Amer.Math.Soc., V12, P7

[10]

El Naschie MS, 2006, INT J NONLIN SCI NUM, V7, P407

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