Further studies on robust h∞ state feedback plus state-derivative feedback controller for uncertain fuzzy dynamic systems
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Author list: Ruangsang S., Assawinchaichote W.
Publisher: MDPI
Publication year: 2019
Journal: Mathematics (2227-7390)
Volume number: 15
Issue number: 3
Start page: 1157
End page: 1176
Number of pages: 20
ISSN: 2227-7390
eISSN: 2227-7390
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce a generalized viscosity explicit method (GVEM) for nonexpansive mappings in the setting of Banach spaces and, under some new techniques and mild assumptions on the control conditions, prove some strong convergence theorems for the proposed method, which converge to a fixed point of the given mapping and a solution of the variational inequality. As applications, we apply our main results to show the existence of fixed points of strict pseudo-contractions and periodic solutions of nonlinear evolution equations and Fredholm integral equations. Finally, we give some numerical examples to illustrate the efficiency and implementation of our method. ฉ 2019 by the authors.
Keywords
Nonlinear evolution equation, Viscosity iterative method
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