Common fixed-point results for nonlinear contractions in ordered partial metric spaces

被引：49

作者：

Samet, Bessem ^{[1
]}

Rajovic, Miloje ^{[2
]}

Lazovic, Rade ^{[3
]}

Stojiljkovic, Rade ^{[4
]}

机构：

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

[2] Fac Mech Engn, Kraljevo 36000, Serbia

[3] Fac Org Sci, Belgrade 11000, Serbia

[4] High Sch Presch Pedagogues Gnjilane, Bujanovac 17520, Serbia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

partial metric; ordered set; common fixed point; coincidence point; partial compatible; GENERALIZED CONTRACTIONS; PARTIAL METRIZABILITY; THEOREMS; SETS; PRINCIPLE;

D O I：

10.1186/1687-1812-2011-71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are proved. Presented theorems are twofold generalizations of very recent fixed-point theorems of Altun and Erduran (Fixed Point Theory Appl 2011(Article ID 508730):10, 2011), Altun et al. (Topol Appl 157(18):2778-2785, 2010), Matthews (Proceedings of the 8th summer conference on general topology and applications, New York Academy of Sciences, New York, pp. 183-197, 1994) and many other known corresponding theorems. 2000 Mathematics Subject Classifications: 54H25; 47H10.

引用

页码：1 / 14

页数：14

共 47 条

[1] Generalized contractions in partially ordered metric spaces
Agarwal, Ravi P.
El-Gebeily, M. A.
O'Regan, Donal
[J]. APPLICABLE ANALYSIS, 2008, 87 (01) : 109 - 116
[2] Altun I, 2010, FIXED POINT THEORY A, V17
[3] Altun I., 2011, INT J MATH MATH SCI, V2011, DOI [10.1155/2011/736063, DOI 10.1155/2011/736063]
[4] Generalized contractions on partial metric spaces
Altun, Ishak
Sola, Ferhan
Simsek, Hakan
[J]. TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) : 2778 - 2785
[5] A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
Amini-Harandi, A.
Emami, H.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2238 - 2242
[6] [Anonymous], 2008, An. Univ. Vest Timisoara, MatInform.
[7] Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces
Beg, Ismat
Butt, Asma Rashid
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3699 - 3704
[8] Fixed point theorems in partially ordered metric spaces and applications
Bhaskar, T. Gnana
Lakshmikantham, V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) : 1379 - 1393
[9] Bukatin MA, 1998, LECT NOTES COMPUT SC, V1378, P125, DOI 10.1007/BFb0053546
[10] Partial Metric Spaces
Bukatin, Michael
Kopperman, Ralph
Matthews, Steve
Pajoohesh, Homeira
[J]. AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (08) : 708 - 718

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