Coupled fixed point theorems for contractions involving altering distances in ordered metric spaces

被引：0
作者：
Nashine, Hemant Kumar [1 ]
Aydi, Hassen [2 ]
机构：
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] Univ Sousse, Inst Super Informat & Technol Commun Hammam Souss, Route GP1-4011, Hammam Sousse, Tunisia
来源：
MATHEMATICAL SCIENCES | 2013年 / 7卷 / 01期
关键词：
Coupled fixed point; Complete metric space; Generalized altering distance function; Weakly contractive condition; Mixed monotone property; Partially ordered set;
D O I：
10.1186/2251-7456-7-20
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a coupled fixed point result of F : X x X -> X having the mixed monotone property involving generalized altering distance functions in five variables on ordered metric spaces. An example is given to support the usability of our results. We also give a coupled fixed point result involving a contraction of integral type.
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页数：8
相关论文
共 46 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]  
ABDELJAWAD T, 2012, MATH PROBL, DOI DOI 10.1186/1687-1812-2012-194
[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]   Remarks on some coupled fixed point theorems in G-metric spaces [J].
Agarwal, Ravi P. ;
Karapinar, Erdal .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[5]   Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].
Altun, Ishak ;
Simsek, Hakan .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[6]   A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations [J].
Amini-Harandi, A. ;
Emami, H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2238-2242
[7]  
Aydi H., 2012, J APPL MATH, V2012
[8]   Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Shatanawi, Wasfi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4449-4460
[9]  
Banach, 1922, FUND MATH, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
[10]  
Beg I, 2009, CARPATHIAN J MATH, V25, P1
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