New fixed point theorems for set-valued contractions in b-metric spaces

被引:124
|
作者
Miculescu, Radu [1 ]
Mihail, Alexandru [1 ]
机构
[1] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania
关键词
Fixed point theorems; set-valued functions; b-metric spaces; MULTIVALUED CONTRACTIONS;
D O I
10.1007/s11784-016-0400-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle for set-valued functions (see Nadler, Pac J Math 30:475-488, 1969) and a fixed point theorem for set-valued quasi-contraction functions due to Aydi et al. (see Fixed Point Theory Appl 2012:88, 2012).
引用
收藏
页码:2153 / 2163
页数:11
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