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

Fixexd point theory and applications

Fatemeh Kiany¹  Alireza Amini-Harandi² 

[1] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Mathematics, University of Shahrekord, Shahrekord, Iran

关键词: Fixed point;    Endpoint;    Set-valued fuzzy contraction map;    Fuzzy metric space;    Topology;   

DOI  :  10.1186/1687-1812-2011-94

学科分类：数学（综合）

来源: SpringerOpen

【 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. 02000 Mathematics Subject Classification: 47H10, 54H25.

【 授权许可】

CC BY