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

被引：133

作者：

Miculescu, Radu ^{[1
]}

Mihail, Alexandru ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 03期

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

页码：2153 / 2163

页数：11

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