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Leray-Schauder alternatives for approximable maps in topological vector spaces

✍ Scribed by In-Sook Kim; Kihong Kim; Sehie Park

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
564 KB
Volume
35
Category
Article
ISSN
0895-7177

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✦ Synopsis

using a fixed-point theorem for compact approximable maps defined on an admisssible convex subset of a topological vector space, we prove Leray-Schauder alternatives for compact or pseudo-condensing approximable maps.

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A Leray–Schauder type theorem for approximable maps in topological vector spaces
✍ In-Sook Kim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 475 KB

We give new Leray-Schauder type theorems for compact or condensing approximable maps in not necessarily locally convex topological vector spaces in two different ways of approach. First, with the help of the \(Z\) type set, our argument is based on a finite dimensional approximation property for top