Some Applications

Antonio J. Guirao, Vicente Montesinos and Václav Zizler
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Antonio J. Guirao: Universitat Politècnica de València, Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada
Vicente Montesinos: Universitat Politècnica de València, Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada
Václav Zizler: University of Alberta, Department of Mathematical and Statistical Sciences

Chapter Chapter 7 in Open Problems in the Geometry and Analysis of Banach Spaces, 2016, pp 129-134 from Springer

Abstract: Abstract Schauder’s theorem theorem Schauder on fixed points asserts (see the comments to Problem 274 above) that if C is a compact compact and fixed points convex set convex set compact in a Banach space X and if f is a continuous mapping from C into C, then f has a fixed point point fixed fixed point , i.e., there is x ∈ C such that f(x) = x (cf., e.g., [FHHMZ11, p. 542]).

Keywords: Schauder; Banach Space; Continuous Function; Ben Line; Goza De (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-33572-8_7

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