摘要
由于fuzy系统工程等fuzzy性理论的需要,提出fuzzy映象,并研究fuzzy映象的不动点理论,Caristi不动点定理不要求映象具有连续性,它能应用于许多领域。该文在概率度量空间中提出Caristi型fuzy混合不动点的概念,得到一个fuzy混合不动点定理和一个公共fuzzy混合不动点定理,这些定理不仅推广和改进了Caristi不动点定理本身以及近期的一些重要结果,而且还能在系统工程中应用。
To supply the requirement of fuzzy system engineering, the concept of fuzzy mapping is introduced and the fixed point theorems of fuzzy mappings are studied. Because Caristi fixed poin theorem does not require the continuity of the mapping ,it finds applications in many fields. This paper put forward the concept of Caristi type comnion fuzzy hybrid fixed point in M PM spaces, gave a fuzzy hybrid fixed point theorem and a common fuzzy hybrid fixed point theorem, the results presented in this paper unified and extend Caristi′s fixed point theorem and some recent important generalizations. and it can be applied in system engineering.
出处
《南京理工大学学报》
EI
CAS
CSCD
1998年第4期368-371,共4页
Journal of Nanjing University of Science and Technology
关键词
系统工程
模糊系统
不动点定理
概率度量空间
systems engineering,fuzzy systems,fuzzy control theory,fuzzy mappings,fixed point theorem