Global exponential stability of general A-monotone implicit fuzzy proximal dynamical systems in Banach spaces

被引：4
|
作者：
Lan, Heng-you [1 ,2 ]
Nieto, Juan J. [3 ,4 ]
Cui, Yi-shun [5 ]
机构：
[1] Sichuan Univ Sci & Engn, Inst Nonlinear Sci & Engn Comp, Zigong 643000, Sichuan, Peoples R China
[2] Key Lab Higher Educ Sichuan Prov Enterprise Infor, Zigong 643000, Sichuan, Peoples R China
[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[5] Sichuan Univ Sci & Engn, Coll Mat & Chem Engn, Zigong 643000, Sichuan, Peoples R China
来源：
SOFT COMPUTING | 2017年 / 21卷 / 11期
关键词：
General A-monotone operator; Generalized proximal mapping technique; Generalized implicit fuzzy proximal dynamical system; Neural network technique; Existence and global exponential stability; QUASI-VARIATIONAL INCLUSIONS; RECURRENT NEURAL-NETWORKS; INEQUALITIES; OPTIMIZATION; OPERATORS; MAPPINGS; MODELS;
D O I：
10.1007/s00500-015-1995-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The purpose of this paper is to introduce the notion of general A-monotone operators in Banach spaces. Under some suitable conditions and using generalized proximal mapping technique, neural network technique and Gronwall's inequality, a new class of general A-monotone implicit fuzzy proximal dynamical systems in Banach spaces are also proposed and analyzed through a recurrent neural network with a one-layer structure, and the existence of the solutions of the proximal dynamical systems is shown. Further, the global exponential stability of these dynamical systems is proved. The results presented in this paper improve and generalize the corresponding results in the literature.
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页码：3113 / 3121
页数：9
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