Fixed point theorems and applications in \(p\)-vector spaces

DOI10.1186/s13663-023-00747-wOpenAlexW4382893322WikidataQ122527131 ScholiaQ122527131MaRDI QIDQ6129533

George Xianzhi Yuan

Publication date: 17 April 2024

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-023-00747-w

zbMATH Keywords

nonexpansive mappingmeasure of noncompactnessbest approximationfixed point theoremLeray-Schauder alternativenonlinear analysisnonlinear alternativecondensing mappinglocally \(p\)-convex spacegraph-approximationSchauder conjectureuniform convex space\(p\)-inward and \(p\)-outward set\(p\)-vector space1-set contractive mappingquasi upper semicontinuous

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35) Existence theories for problems in abstract spaces (49J27) Fixed points and coincidences in algebraic topology (55M20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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