Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings
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Publication:6103686
DOI10.1186/s13663-022-00735-6arXiv2210.10286OpenAlexW4311681597MaRDI QIDQ6103686
Publication date: 27 June 2023
Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.10286
fixed pointsnonexpansive mappingmeasure of noncompactnessbest approximationLeray-Schauder alternativenonlinear analysisOpial conditionnonlinear alternative\(p\)-convexdemiclosedness principlecondensing mappinglocally \(p\)-convex spaceuniform convex space\(p\)-inward and \(p\)-outward set\(p\)-vector space1-set contractive mappingsemiclosed mapping
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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