Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces

被引：17
作者：
Mustafa, Zead [1 ]
机构：
[1] Hashemite Univ, Dept Math, POB 330127, Zarqa 13115, Jordan
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
COMPATIBLE MAPS; MAPPINGS;
D O I：
10.1155/2012/248937
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce some new types of pairs of mappings (f, g ) on G-metric space called G-weakly commuting of type (A(f)) and G-R-weakly commuting of type (A(f)). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.
引用
收藏
页数：21
相关论文
共 34 条
[1]   Some new common fixed point theorems under strict contractive conditions [J].
Aamri, M ;
El Moutawakil, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) :181-188
[2]   Common coupled fixed point theorems in cone metric spaces for w-compatible mappings [J].
Abbas, M. ;
Khan, M. Ali ;
Radenovic, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) :195-202
[3]   Common fixed point results for noncommuting mappings without continuity in generalized metric spaces [J].
Abbas, M. ;
Rhoades, B. E. .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) :262-269
[4]   Common fixed points of R-weakly commuting maps in generalized metric spaces [J].
Abbas, Mujahid ;
Khan, Safeer Hussain ;
Nazir, Talat .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[5]   Common fixed point of mappings satisfying (E.A) property in generalized metric spaces [J].
Abbas, Mujahid ;
Nazir, Talat ;
Doric, Dragan .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (14) :7665-7670
[6]   Coupled common fixed point results in two generalized metric spaces [J].
Abbas, Mujahid ;
Khan, Abdul Rahim ;
Nazir, Talat .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6328-6336
[7]   On generalized weakly G-contraction mapping in G-metric spaces [J].
Aydi, Hassen ;
Shatanawi, Wasfi ;
Vetro, Calogero .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) :4222-4229
[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]  
Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[10]   Coupled fixed point results in generalized metric spaces [J].
Choudhury, Binayak S. ;
Maity, Pranati .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) :73-79
1234