A Generalization of Nadler's Fixed Point Theorem

被引：7

作者：

Popescu, Ovidiu ^{[1
]}

Stan, Gabriel ^{[1
]}

机构：

[1] Transilvania Univ Brasov, Dept Math, 50 Maniu Iuliu, Brasov 500091, Romania

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Complete metric space; Nadler's theorem; Multi-valued mappings; MULTIVALUED CONTRACTION-MAPPINGS; METRIC-SPACES; MAPS;

D O I：

10.1007/s00025-017-0694-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we generalize the well-known Nadler's fixed point theorem (Nadler in Pac J Math 30:475-488, 1969), and one of some Dhompongsa and Yingtaweesittikul type theorems for multi-valued operators, see (Dhompongsa and Yingtaweesittikul in Fixed Point Theory Appl, 2007). Also, we give an example showing that our result is a proper generalization of some previous theorems.

引用

页码：1525 / 1534

页数：10

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