Common fixed point theorems for families of occasionally weakly compatible mappings

被引：25

作者：

Ciric, Ljubomir ^{[2
]}

Samet, Bessem ^{[1
]}

Vetro, Calogero ^{[3
]}

机构：

[1] Ecole Super Sci & Tech Tunis, Dept Math, Bab Menara 1008, Tunisia

[2] Fac Mech Engn, Belgrade 11000, Serbia

[3] Univ Palermo, Dept Math & Informat, I-90123 Palermo, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期

关键词：

Common fixed points; Occasionally weakly compatible mappings; Probabilistic metric space; METRIC-SPACES; MAPS;

D O I：

10.1016/j.mcm.2010.09.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We prove some common fixed point theorems in probabilistic semi-metric spaces for families of occasionally weakly compatible mappings. We also give a common fixed point theorem for mappings satisfying an integral-type implicit relation. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：631 / 636

页数：6

共 17 条

[1] Fuzzy common fixed point theorems for generalized contractive mappings [J].

Abbas, M. ;

Damjanovic, Bosko ;

Lazovic, Rade .

APPLIED MATHEMATICS LETTERS, 2010, 23 (11) :1326-1330

[2]

Abbas M, 2008, MATH COMMUN, V13, P295

[3] Generalized I-nonexpansive selfmaps and invariant approximations [J].

Al-Thagafi, M. A. ;

Shahzad, Naseer .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (05) :867-876

[4]

Cho YJ, 2010, J COMPUT ANAL APPL, V12, P76

[5] Common fixed point theorems for families of weakly compatible maps [J].

Ciric, Ljubomir ;

Razani, A. ;

Radenovic, Stojan ;

Ume, J. S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2533-2543

[6] Jungck's common fixed point theorem and E.A property [J].

Imdad, M. ;

Ali, Javid .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (01) :87-94

[7] COMMUTING MAPPINGS AND FIXED-POINTS [J].

JUNGCK, G .

AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) :261-263

[8]

Jungck G., 2006, FIXED POINT THEOR-RO, V7, P286

[9]

Jungck G., 1986, Int. J. Math. Sci., V9, P771, DOI DOI 10.1155/S0161171286000935

[10] Statistical metrics [J].

Menger, K .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1942, 28 :535-537

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