FIXED POINTS OF (ψ, φ)-WEAK CONTRACTIONS IN CONE METRIC SPACES

被引:4
作者
Aage, C. T. [1 ]
Salunke, J. N. [1 ]
机构
[1] North Maharashtra Univ, Sch Math Sci, Jalgaon 425001, India
关键词
Banach space; cone metric space; weak contraction; fixed point; MAPPINGS; THEOREMS;
D O I
10.15352/afa/1399900262
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we have established the fixed point theorem of self maps for (psi, phi)-weak contractions in cone metric spaces. Also our result is supported by an example.
引用
收藏
页码:59 / 71
页数:13
相关论文
共 32 条
[1]  
Aage CT, 2009, BULL MATH ANAL APPL, V1, P10
[2]   Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J].
Abbas, A. ;
Jungck, G. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :416-420
[3]   Fixed and periodic point results in cone metric spaces [J].
Abbas, Mujahid ;
Rhoades, B. E. .
APPLIED MATHEMATICS LETTERS, 2009, 22 (04) :511-515
[4]  
Alber Y.I., 1997, NEW RESULTS OPERATOR, P7, DOI DOI 10.1007/978-3-0348-8910-0
[5]   A FIXED POINT THEOREM ON CONE METRIC SPACES WITH NEW TYPE CONTRACTIVITY [J].
Altun, Ishak ;
Abbas, Mujahid ;
Simsek, Hakan .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2011, 5 (02) :15-24
[6]   Common fixed points of two maps in cone metric spaces [J].
Azam A. ;
Arshad M. ;
Beg I. .
Rendiconti del Circolo Matematico di Palermo, 2008, 57 (3) :433-441
[7]   Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition [J].
Beg, Ismat ;
Abbas, Mujahid .
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[8]  
bibitemgha Gh., 2010, ANN FUNCT ANAL, V1, P44
[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