FIXED POINTS OF LOCALLY FUZZY CONTRACTIVE SET-VALUED MAPPINGS IN FUZZY METRIC SPACES

被引：0

作者：

Hong, Shihuang ^{[1
]}

Zhao, Chunxiang ^{[1
]}

Peng, Yingzi ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Appl Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY | 2017年 / 18卷 / 02期

关键词：

Locally fuzzy contractive mapping; s-chainable fuzzy metric space; fw-distance; fixed point; THEOREMS; QUESTIONS;

D O I：

10.24193/fpt-ro.2017.2.48

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce new notions of the locally fuzzy contraction of set-valued mappings and.7-chainable fuzzy metric space. Using these notions, we deal with some issues of fixed point theory involving the generalization of fuzzy contractive mappings introduced by other authors. We enlarge this class and establish fuzzy versions of some known fixed point theorems(such as the Nadler's set-valued contractive and Edelstein's locally contractive fixed point theorems). The results are supported by examples.

引用

页码：601 / 614

页数：14

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