FIXED POINT THEOREMS FOR CYCLIC φ-CONTRACTIONS IN ORDERED METRIC SPACES

被引:0
作者
Harjani, J. [1 ]
Lopez, B. [1 ]
Sadarangani, K. [1 ]
机构
[1] Univ Las Palmas Gran Canaria, Dept Matemat, Las Palmas Gran Canaria 35017, Spain
来源
FIXED POINT THEORY | 2013年 / 14卷 / 02期
关键词
Fixed point; ordered metric space; cyclic phi-contraction; ORDINARY DIFFERENTIAL-EQUATIONS; GENERALIZED CONTRACTIONS; SETS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to present some fixed point results for cyclic phi-contractions in a complete metric space endowed with a partial order.
引用
收藏
页码:359 / 368
页数:10
相关论文
共 15 条
[1]   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
[2]   Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].
Altun, Ishak ;
Simsek, Hakan .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[3]  
Berinde V., 2003, Fixed Point Theory, V4, P131
[4]   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
[5]   Fixed points and approximate solutions for nonlinear operator equations [J].
Cabada, A ;
Nieto, JJ .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :17-25
[6]   Fixed point theorems for weakly C-contractive mappings in ordered metric spaces [J].
Harjani, J. ;
Lopez, B. ;
Sadarangani, K. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :790-796
[7]   Fixed point theorems for weakly contractive mappings in partially ordered sets [J].
Harjani, J. ;
Sadarangani, K. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :3403-3410
[8]  
Kirk W.A., 2003, Fixed Point Theory, V4, P79
[9]   Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces [J].
Lakshmikantham, V. ;
Ciric, Ljubomir .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4341-4349
[10]   Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations [J].
Nieto, JJ ;
Rodríguez-López, R .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (03) :223-239