Fixed point theorems and principles of nonlinear alternatives in \(p\)-vector spaces

DOI10.12386/B20220226MaRDI QIDQ6670786

George Yuan

Publication date: 24 January 2025

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)

zbMATH Keywords

best approximationLeray-Schauder alternativenonlinear analysisSchauder fixed point theoremnonlinear alternativegraph-approximationSchauder conjecture\(p\)-vector spacelocally \(p\)-convex space \((0<p<1)\)quasi upper semincontinuous (QUSC)Rothe type fixed point

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Set-valued operators (47H04) Existence theories for problems in abstract spaces (49J27) Convex sets in topological linear spaces; Choquet theory (46A55)

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