Fixed point theorems for multi-valued contractions with w-distance

被引:8
作者
Liu, Zeqing [1 ]
Lu, Yan [1 ]
Kang, Shin Min [2 ,3 ]
机构
[1] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
关键词
Multi-valued contractions; Fixed point theorems; w-Distance; COMPLETE METRIC-SPACES; MAPPINGS; MAPS;
D O I
10.1016/j.amc.2013.08.061
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some fixed point theorems for a few nonlinear multi-valued contraction mappings in complete metric spaces with w-distance are proved. The results presented in this paper generalize the recent results due to Ciric (2009) [3], Feng and Liu (2006) [4], Klim and Wardowski (2007) [8], Latif and Abdou (2011) [12] and Liu et al. (2010) [14]. Seven examples are given to explain our results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:535 / 552
页数:18
相关论文
共 18 条
[1]   Fixed point and homotopy results for multivalued maps satisfying an implicit relation [J].
Altun, Ishak .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2011, 9 (01) :125-134
[2]   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
[3]   Multi-valued nonlinear contraction mappings [J].
Ciric, Ljubomir .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :2716-2723
[4]   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
[5]   Common fixed points for maps on metric space with w-distance [J].
Ilic, Dejan ;
Rakocevic, Vladimir .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) :599-610
[6]  
Kada O., 1996, Math Japon, V44, P381
[7]   Mizoguchi-Takahashi's type fixed point theorem [J].
Kamran, Tayyab .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) :507-511
[8]   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
[9]   Fixed points for (φ, ψ, p)-weakly contractive mappings in metric spaces with w-distance [J].
Lakzian, Hossein ;
Aydi, Hassen ;
Rhoades, B. E. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) :6777-6782
[10]   Fixed Point Results for Generalized Contractive Multimaps in Metric Spaces [J].
Latif, Abdul ;
Abdou, Afrah A. N. .
FIXED POINT THEORY AND APPLICATIONS, 2009,