Fixed points of fuzzy contractive set-valued mappings and fuzzy metric completeness

被引：0
作者：
Shihuang Hong
Yingzi Peng
机构：
[1] Hangzhou Dianzi University,Institute of Applied Mathematics and Engineering Computations
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
fixed point; fuzzy contractive mapping; fuzzy metric completeness; -distance;
D O I：
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学科分类号：
摘要：
In this paper, we introduce a new fuzzy contraction via a new concept of the fuzzy sets called fw-distances initiated in the paper, which is a generalization of a fuzzy contractive mapping initiated in the article (Fuzzy Sets Syst. 159:739-744, 2008). A fixed point theorem is established by using this type of contraction of set-valued mappings in fuzzy metric spaces which are complete in the sense of George and Veeramani. As an application of our results, we give characterizations of fuzzy metric completeness. The results are supported by examples.
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