Cyclic Contractions on G-Metric Spaces

被引:11
作者
Karapinar, E. [1 ]
Yildiz-Ulus, A. [2 ]
Erhan, I. M. [1 ]
机构
[1] Atilim Univ, Dept Math, TR-06836 Incek, Turkey
[2] Galatasaray Univ, Dept Math, TR-34349 Istanbul, Turkey
关键词
FIXED-POINT THEOREM; GENERALIZED CONTRACTIONS; PROXIMITY POINT; CONVERGENCE; EXISTENCE; MAPS;
D O I
10.1155/2012/182947
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on G-metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.
引用
收藏
页数:15
相关论文
共 33 条
[1]   Convergence and existence results for best proximity points [J].
Al-Thagafi, M. A. ;
Shahzad, Naseer .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) :3665-3671
[2]  
Alber YaI., 1997, New results in Operator Theory and its Applications, P7
[3]   A fixed point theorem for cyclic generalized contractions in metric spaces [J].
Alghamdi, Maryam A. ;
Petrusel, Adrian ;
Shahzad, Naseer .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[4]  
Aydi H, J NONLINEAR IN PRESS
[5]   Tripled coincidence point results for generalized contractions in ordered generalized metric spaces [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Shatanawi, Wasfi .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[6]   Tripled Fixed Point Results in Generalized Metric Spaces [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Shatanawi, Wasfi .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[7]   Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces [J].
Aydi, Hassen ;
Postolache, Mihai ;
Shatanawi, Wasfi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) :298-309
[8]   Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces [J].
Aydi, Hassen ;
Damjanovic, Bosko ;
Samet, Bessem ;
Shatanawi, Wasfi .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) :2443-2450
[9]   ON NONLINEAR CONTRACTIONS [J].
BOYD, DW ;
WONG, JSW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&
[10]  
Derafshpour M, 2011, TOPOL METHOD NONL AN, V37, P193