Fixed Point Results for Generalized Contractive Multimaps in Metric Spaces

被引:12
作者
Latif, Abdul [1 ]
Abdou, Afrah A. N. [2 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Girls Coll Educ, Jeddah 21434, Saudi Arabia
关键词
THEOREMS; MAPPINGS;
D O I
10.1155/2009/432130
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The concept of generalized contractive multimaps in the setting of metric spaces is introduced, and the existence of fixed points for such maps is guaranteed under certain conditions. Consequently, our results either generalize or improve a number of fixed point results including the corresponding recent fixed point results of Ciric (2008), Latif-Albar (2008), Klim-Wardowski (2007), and Feng-Liu (2006). Examples are also given. Copyright (C) 2009 A. Latif and A. A. N. Abdou.
引用
收藏
页数:16
相关论文
共 10 条
[1]   Fixed point theorems for multi-valued contractions in complete metric spaces [J].
Ciric, Ljubomir .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :499-507
[2]   Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings [J].
Feng, YQ ;
Liu, SY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :103-112
[3]  
Kada O, 1996, MATH JPN, V44, P381
[4]   Fixed point theorems for set-valued contractions in complete metric spaces [J].
Klim, D. ;
Wardowski, D. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :132-139
[5]   Fixed Points of Generalized Contractive Maps [J].
Latif, Abdul ;
Abdou, Afrah A. N. .
FIXED POINT THEORY AND APPLICATIONS, 2009,
[6]   FIXED POINT RESULTS IN COMPLETE METRIC SPACES [J].
Latif, Abdul ;
Albar, Wafaa A. .
DEMONSTRATIO MATHEMATICA, 2008, 41 (01) :145-150
[7]   Some equivalent formulations of the generalized Ekeland's variational principle and their applications [J].
Lin, Lai-Jiu ;
Du, Wei-Shih .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (01) :187-199
[8]   FIXED-POINT THEOREMS FOR MULTIVALUED MAPPINGS ON COMPLETE METRIC-SPACES [J].
MIZOGUCHI, N ;
TAKAHASHI, W .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (01) :177-188
[9]   MULTI-VALUED CONTRACTION MAPPINGS [J].
NADLER, SB .
PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) :475-&
[10]  
Takahashi Wataru, 2000, Nonlinear functional analysis