Some properties of polyhedral multifunctions
http://www.ybook.co.jp/online2/opjnca/vol12/p483.htmlPublisher, magazine: ,
Publication year: 2011
Lưu Trích dẫn Chia sẻAbstract
This paper establishes several properties of polyhedral multifunctions with respect to: (a) Relationships between the lower semicontinuity and the pseudo-Lipschitz property, (b) Connectedness preservation, (c) Path-connectedness preservation. We make use of a theorem on the existence of Lipschitz selections of Lipschitz continuous multifunctions with nonempty closed convex values in Euclidean spaces.
Tags: Polyhedral multifunction, lower semicontinuity, Lipschitz-like property, upper semicontinuity, locally upper Lipschitz map, connectedness, path-connectedness, Lipschitz selection.
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