New conditions on fuzzy coupled coincidence fixed point theorem

被引：0

作者：

Wang, Shenghua ^{[1
]}

Luo, Ting ^{[1
]}

Ciric, Ljubomir ^{[2
]}

Alsulami, Saud M. ^{[3
]}

机构：

[1] North China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R China

[2] Univ Belgrade, Fac Mech Engn, Belgrade 11000, Serbia

[3] King Abdulaziz Univ, Dept Math, Jeddah 21323, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

fuzzy metric space; contraction mapping; coincidence fixed point; partial order; METRIC-SPACES; MAPPINGS;

D O I：

10.1186/1687-1812-2014-153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order fuzzy metric space. In this paper, we give a new version of the result of Choudhury et al. by removing some restrictions. In our result, the mappings are not required to be compatible, continuous or commutable, and the t-norm is not required to be of Hadzic-type. Finally, two examples are presented to illustrate the main result of this paper.

引用

页数：12

共 22 条

[1] Fixed point theorems in partially ordered metric spaces and applications [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393

[2] Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces [J].

Choudhury, Binayak S. ;

Das, Krishnapada ;

Das, Pradyut .

FUZZY SETS AND SYSTEMS, 2013, 222 :84-97

[3] FUZZY PSEUDO-METRIC SPACES [J].

DENG, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 86 (01) :74-95

[4]

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]

[5] METRIC SPACES IN FUZZY SET-THEORY [J].

ERCEG, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (01) :205-230

[6] ON FIXED-POINT THEOREMS IN FUZZY METRIC-SPACES [J].

FANG, JX .

FUZZY SETS AND SYSTEMS, 1992, 46 (01) :107-113

[7] ON SOME RESULTS IN FUZZY METRIC-SPACES [J].

GEORGE, A ;

VEERAMANI, P .

FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399

[8] On some results of analysis for fuzzy metric spaces [J].

George, A ;

Veeramani, P .

FUZZY SETS AND SYSTEMS, 1997, 90 (03) :365-368

[9] FIXED-POINTS IN FUZZY METRIC-SPACES [J].

GRABIEC, M .

FUZZY SETS AND SYSTEMS, 1988, 27 (03) :385-389

[10] On fixed-point theorems in fuzzy metric spaces [J].

Gregori, V ;

Sapena, A .

FUZZY SETS AND SYSTEMS, 2002, 125 (02) :245-252

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