Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces

被引：8
|
作者：
Cho, Seong-Hoon [1 ]
Bae, Jong-Sook [2 ]
Na, Kwang-Soo [2 ]
机构：
[1] Hanseo Univ, Dept Math, Seosan 356706, Chungnam, South Korea
[2] Moyngji Univ, Dept Math, Yongin 449728, South Korea
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
新加坡国家研究基金会;
关键词：
fixed point; multivalued map; cone metric space; SET-VALUED CONTRACTIONS; NONLINEAR CONTRACTIONS; EQUIVALENCE; PAPER; MAPS;
D O I：
10.1186/1687-1812-2012-133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a fixed-point theorem for multivalued contractive mappings in complete cone metric spaces. We generalize Caristi's fixed-point theorem to the case of multivalued mappings in complete cone metric spaces. We give examples to support our main results. Our results are extensions of the results obtained by Feng and Liu (J. Math. Anal. Appl. 317:103-112, 2006) to the case of cone metric spaces. MSC: 47H10, 54H25.
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页数：10
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