DocumentCode :
477738
Title :
On Implicit Fuzzy Proximal Dynamical Systems Involving General A-Monotone Operators in Banach Spaces
Author :
Cui, Yi-shun ; Lan, Heng-you ; Chen, Yu-chuan
Author_Institution :
Dept. of Math., Sichuan Univ. of Sci. & Eng., Zigong
Volume :
1
fYear :
2008
fDate :
18-20 Oct. 2008
Firstpage :
615
Lastpage :
620
Abstract :
In this paper, we introduce a new class of general A-monotone operators in Banach spaces, study some properties of general A-monotone operator and define a new proximal mapping associated with the general A-monotone operator. Under some suitable conditions and by using generalized proximal mapping technique, we also construct and analyze a new class of implicit fuzzy proximal dynamical systems involving general A-monotone operators in Banach spaces, and show that the trajectory of the solution of the proximal dynamical systems converges globally exponentially to the solution of the proximal dynamical systems. Furthermore, the general A-monotone operators are illustrated by some examples. The results presented in this paper improve and generalize the corresponding results of recent works.
Keywords :
Banach spaces; fuzzy set theory; mathematical operators; Banach spaces; fuzzy proximal dynamical systems; general A-monotone operators; generalized proximal mapping technique; proximal mapping; Chemical engineering; Control systems; Dynamic programming; Education; Finance; Fuzzy systems; Mathematics; Nonlinear control systems; Trajectory; Transportation; general A-monotone operator; generalized proximal mapping technique; globally exponential convergence; implicit fuzzy proximal dynamical systems; trajectory of the solution;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
Type :
conf
DOI :
10.1109/FSKD.2008.47
Filename :
4666050
Link To Document :
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