A drop theorem without vector topology
type: Item
instance of: scholarly article
title: A drop theorem without vector topology
zbMATH Open document ID: 1118.46008
author: Chi-Wing Wong
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-26T00:00:00Z
review text: An extension to bornological spaces is given for the 1972 drop theorem due to \textit{J.\,Danes} [Boll.\ Unione Mat.\ Ital., IV.\,Ser.\ 6, 369--375 (1972; Zbl 0236.47053)]; it includes the related statement in [\textit{J.--H.\thinspace Qiu}, J.~Math.\ Anal.\ Appl.\ 266, 288--297 (2002; Zbl 1004.46012)], expressed in a locally convex realm. As a byproduct of this, a corresponding version in such spaces is derived for Ekeland's variational principle and the Caristi--Kirk fixed point theorem.
Mathematics Subject Classification ID: 46A17
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 5129659
zbMATH Keywords: drop theorem
zbMATH Keywords: Ekeland variational principle
zbMATH Keywords: Caristi fixed point theorem
zbMATH Keywords: bornological vector space
reviewed by: Mihai Turinici
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.06.086
OpenAlex ID: W2021669237
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DOI: 10.1016/J.JMAA.2006.06.086
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description: scientific article; zbMATH DE number 5129659