Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces

被引：0

作者：

Chauhan, Sunny ^{[1
]}

Shatanawi, Wasfi ^{[2
]}

Kumar, Suneel ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Nehru Training Ctr, Bijnor 246701, Uttar Pradesh, India

[2] Hashemite Univ, Dept Math, Zarqa, Jordan

[3] Govt Higher Secondary Sch, Japsur 244712, Uttarakhand, India

[4] Univ Belgrade, Fac Mech Engn, Belgrade 11120, Serbia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 01期

关键词：

Modified intuitionistic fuzzy metric space; weakly compatible mappings; common limit range property; fixed point; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, utilizing the concept of common limit range property, we prove integral type common fixed point theorems for two pairs of weakly compatible mappings satisfying phi-contractive conditions in modified intuitionistic fuzzy metric spaces. We give some examples to support the useability of our results. We extend our results to four finite families of self mappings by using the notion of pairwise commuting. (C)2014 All rights reserved.

引用

页码：28 / 41

页数：14

共 31 条

[1] Some new common fixed point theorems under strict contractive conditions
Aamri, M
El Moutawakil, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) : 181 - 188
[2] INTUITIONISTIC FUZZY-SETS
ATANASSOV, KT
[J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
[3] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[4] Fixed points for asymptotic contractions of integral Meir-Keeler type
Canzoneri, Elisa
Vetro, Pasquale
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (02): : 126 - 132
[5] Chauhan S., 2014, J INDIAN MA IN PRESS
[6] Chauhan S., 2013, MATH COMPUT IN PRESS
[7] Cho Y. J., 2007, INT J COMPUT APPL MA, V2, P1
[8] Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
Cho, Yeol Je
Rhoades, Billy E.
Saadati, Reza
Samet, Bessem
Shatanawi, Wasfi
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[9] On the representation of intuitionistic fuzzy t-norms and t-conorms
Deschrijver, G
Cornelis, C
Kerre, EE
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 45 - 61
[10] On the relationship between some extensions of fuzzy set theory
Deschrijver, G
Kerre, EE
[J]. FUZZY SETS AND SYSTEMS, 2003, 133 (02) : 227 - 235

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