Fixed point and common fixed point results in ordered cone metric spaces

被引：0
作者：
Choudhury, Binayak S. [1 ,2 ]
Metiya, N.
机构：
[1] Bengal Engn & Sci Univ, Dept Math, Howrah 711103, W Bengal, India
[2] Bengal Inst Technol, Dept Math, Kolkata 700150, W Bengal, India
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 01期
关键词：
Partially ordered set; Cone metric space; Weak contractive inequality; Control function; Fixed point; WEAKLY CONTRACTIVE MAPS; ALTERING DISTANCES; GENERALIZED CONTRACTIONS; THEOREMS; COINCIDENCE; EQUATIONS; MAPPINGS; SETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish some fixed point results for functions which satisfy certain weak contractive inequalities in partially ordered cone metric spaces. We have also given some illustrative examples. Our results are extension of some existing results.
引用
收藏
页码：55 / 71
页数：17
相关论文
共 29 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]  
Alber Y. I., 1997, Oper. Theory Adv. Appl., V98, P7
[3]   Fixed point and common fixed point theorems on ordered cone metric spaces [J].
Altun, Ishak ;
Damjanovic, Bosko ;
Djoric, Dragan .
APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316
[4]  
[Anonymous], 1985, NONLINEAR FUNCTIONAL
[5]   Approximation of fixed points of weakly contractive nonself maps in Banach spaces [J].
Chidume, CE ;
Zegeye, H ;
Aneke, SJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) :189-199
[6]  
Choudhury B. S., 2005, Mathematical Communications, V10, P105
[7]   A FIXED POINT RESULT IN MENGER SPACES USING A REAL FUNCTION [J].
Choudhury, B. S. ;
Das, K. ;
Dutta, P. N. .
ACTA MATHEMATICA HUNGARICA, 2009, 122 (03) :203-216
[8]  
Choudhury B.S., 2005, SOOCHOW J MATH, V31, P71
[9]   The point of coincidence and common fixed point for a pair of mappings in cone metric spaces [J].
Choudhury, Binayak S. ;
Metiya, N. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (06) :1686-1695
[10]   Fixed points of weak contractions in cone metric spaces [J].
Choudhury, Binayak S. ;
Metiya, N. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1589-1593
123