Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces
type: Item
instance of: scholarly article
title: Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces
zbMATH Open document ID: 1305.47041
DOI: 10.1155/2012/682465
author: Xi Li
author: Changyin Sun
author: Yunzhi Zou
author: Nan-Jing Huang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: A new class of generalized dynamical systems involving generalized \(f\)-projection operators is introduced and studied in Banach spaces. By using the fixed-point theorem due to \textit{S. B. Nadler jun.} [Pac. J. Math. 30, 475--488 (1969; Zbl 0187.45002)], the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solution set of systems with set-valued perturbations is shown to be continuous with respect to the initial value.
Mathematics Subject Classification ID: 47H14
Mathematics Subject Classification ID: 37L15
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 6106282
Wikidata QID: Q58907132
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/682465
OpenAlex ID: W2052367617
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DBLP publication ID: journals/jam/ZouLHS12
description: scientific article; zbMATH DE number 6106282