Leray-Schauder alternatives for approximable maps in topological vector spaces

DOI10.1016/S0895-7177(01)00172-8zbMath1021.47032MaRDI QIDQ1609474

In-Sook Kim, Sehie Park, Ki-Hong Kim

Publication date: 15 August 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

admissible setLeray-Schauder alternativetopological vector spaceapproximable multivalued mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (3)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Leray-Schauder theory without local convexity
• Multivalued essential maps of approximable and acyclic type
• Über die Fixpunkte kompakter Abbildungen
• Über positive Eigenwerte kompakter Abbildungen in topologischen Vektorräumen
• Fixpunktsätze für mengenwertige Abbildungen in lokalkonvexen Räumen
• A Leray-Schauder Type Theorem for Approximable Maps
• A Leray-Schauder type theorem for approximable maps: A simple proof
• Fixed points of approximable maps
• Über Fixpunkte kompakter Abbilidungen in topologischen Vektorräumen
• Degree theory for noncompact multivalued vector fields
• Degree of Mapping in Convex Linear Topological Spaces
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