Common fixed point theorems for Lipschitz-type fuzzy mappings in metric spaces

Fixexd point theory and applications

Xue-Jun Zhang¹  Ming-Liang Song¹ 

[1] Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing, China

关键词: fuzzy set;    fuzzy mapping;    fixed point;    Lipschitz-type fuzzy mapping;   

DOI  :  10.1186/1687-1812-2013-262

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some common fixed point theorems for Lipschitz-type fuzzy mappings in complete metric spaces are obtained. As applications, we establish some common fixed point theorems for Lipschitz-type multi-valued mappings in complete metric spaces. Also, we give an example to show the validity of our results, which indicates that our results improve and extend several known results in the existing literature. MSC:47H10, 47H04, 26A16.

【 授权许可】

CC BY