Fixed point and endpoint theorems for set-valued fuzzy contraction maps in fuzzy metric spaces

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作者
Fatemeh Kiany
Alireza Amini-Harandi
机构
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
[2] University of Shahrekord,Department of Mathematics
[3] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
关键词
Fixed point; Endpoint; Set-valued fuzzy contraction map; Fuzzy metric space; Topology;
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摘要
In this paper, we first present a fixed point theorem for set-valued fuzzy contraction type maps in complete fuzzy metric spaces which extends and improves some well-know results in literature. Then by presenting an endpoint result we initiate endpoint theory for fuzzy contraction maps in fuzzy metric spaces.
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