A Proof of a Convex-Valued Selection Theorem with the Codomain of a Frechet Space
Commun. Korean Math. Soc. 2001 Vol. 16, No. 2, 277-285
Myung-Hyun Cho, Jun-Hui Kim
Wonkwang University, Ehime University
Abstract : The purpose of this paper is to give a proof of a generalized convex-valued selection theorem which is given by weakening a Banach space to a completely metrizable locally convex topological vector space, i.e., a Fr\'echet space. We also develop the properties of upper semi-continuous singlevalued mappings to those of upper semi-continuous multivalued mappings. These properties will be applied in our further considerations of selection theorems.
Keywords : Frechet space, selection, selective, semi-continuous
MSC numbers : 54B20, 54C60, 54C65
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd