On common α -fuzzy fixed points with applications

Fixexd point theory and applications

Wutiphol Sintunaravat¹  Abdul Latif²  Antonio-Francisco Roldá³  n-Ló⁴  pez-de-Hierro⁵ 

[1] Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathumthani, Thailand;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, University of Jaén, Jaén, Spain

关键词: α-continuous fuzzy mappings;    α-fuzzy fixed point;    fuzzy mapping;    fuzzy set;    fuzzy topology;   

DOI  :  10.1186/1687-1812-2014-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce a notion of α-continuity of fuzzy mappings and some generalized contractive conditions for α-level sets. Then we prove some theorems on the existence of common α-fuzzy fixed points for a pair of fuzzy mappings. Consequently, we obtain some results on metric spaces endowed with binary relations, and graphs. Further, using α-fuzzy fixed point techniques we obtain common fixed point results for multi-valued mappings on metric spaces.

【 授权许可】

CC BY