Revisiting Cauty's proof of the Schauder conjecture

DOI10.1155/S1085337503211015zbMath1022.54029WikidataQ123025209 ScholiaQ123025209MaRDI QIDQ1811862

Tadeusz Dobrowolski

Publication date: 18 June 2003

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50368

zbMATH Keywords

fixed point propertySchauder conjecturesimplicial approximation propertymetric linear space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (7)

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 ⋮ On applications of Schauder's fixed-point theorem for the solution of the non-symmetric algebraic Riccati equation ⋮ On the conjecture of Schauder ⋮ Fixed point theorems and \(L^{*}\)-operators ⋮ Recent results in analytical fixed point theory ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

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