Leray–Schauder and Krasnoselskii results for multivalued maps defined on pseudo-open subsets of a Fréchet space

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• 作者：Ravi P. Agarwal and Donal O’ ; Regan
• 关键词：Leray– ; Schauder alternative ; Krasnoselskii expansion ; Multivalued maps ; Pseudo-open set ; Projective limit
• 刊名：Applied Mathematics Letters
• 出版年：2006
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：December 2006
• 卷：19
• 期：12
• 页码：1327-1334
• 文件大小：204 K

摘要

New Leray–Schauder alternatives and Krasnoselskii expansion and compression theorems are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo-open set and on viewing E as the projective limit of a sequence of Banach spaces.