Fixed point theorems for monotone multi-valued mappings in partially ordered metric spaces

被引：7
|
作者：
Tiammee, Jukrapong [1 ]
Suantai, Suthep [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50000, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2014年
关键词：
fixed point theorems; multi-valued mappings; partially ordered set; monotone mappings; SET-VALUED CONTRACTIONS; EQUATIONS;
D O I：
10.1186/1687-1812-2014-110
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce two new types of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction conditions. Our main results extend many known results in the literature. Moreover, we also give an example which satisfies our main theorem but Nadler's theorem cannot be applied.
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页数：13
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