Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

被引：49

作者：

Aydi, Hassen ^{[2
]}

Vetro, Calogero ^{[3
]}

Sintunavarat, Wutiphol ^{[1
]}

Kumam, Poom ^{[1
]}

机构：

[1] KMUTT, Fac Sci, Dept Math, Bangkok 10140, Thailand

[2] Univ Sousse, Inst Super Informat & Technol Commun Hammam Souss, H Sousse, Tunisia

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

coincidence point; common fixed point; compatible mappings; cyclic weak (psi; phi)-contraction; partial metric space; weakly increasing mappings; PARTIALLY ORDERED SETS; GENERALIZED CONTRACTIONS; THEOREMS;

D O I：

10.1186/1687-1812-2012-124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a unique fixed point result for a mapping satisfying a weak cyclical contractive condition. We also provide some illustrative examples.

引用

页数：18

共 41 条

[1] Coupled fixed point of generalized contractive mappings on partially ordered G-metric spaces [J].

Abbas, Mujahid ;

Sintunavarat, Wutiphol ;

Kumam, Poom .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[2] Common fixed points of four maps in partially ordered metric spaces [J].

Abbas, Mujahid ;

Nazir, Talat ;

Radenovic, Stojan .

APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1520-1526

[3] Generalized contractions in partially ordered metric spaces [J].

Agarwal, Ravi P. ;

El-Gebeily, M. A. ;

O'Regan, Donal .

APPLICABLE ANALYSIS, 2008, 87 (01) :109-116

[4] Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].

Altun, Ishak ;

Simsek, Hakan .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[5] Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces [J].

Altun, Ishak ;

Erduran, Ali .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[6] Generalized contractions on partial metric spaces [J].

Altun, Ishak ;

Sola, Ferhan ;

Simsek, Hakan .

TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) :2778-2785

[7]

[Anonymous], 2011, J NONLINEAR SCI APPL

[8]

[Anonymous], 2011, J NONLINEAR ANAL OPT

[9]

[Anonymous], 2011, J ADV MATH STUD

[10]

[Anonymous], 2012, INT J MATH STAT

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