Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

DOI10.1186/s13663-022-00730-xOpenAlexW4304588528MaRDI QIDQ2092865

George Xianzhi Yuan

Publication date: 3 November 2022

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/s13663-022-00730-x

zbMATH Keywords

fixed pointsnonexpansive mappingmeasure of noncompactnessbest approximationLeray-Schauder alternativenonlinear analysisOpial condition\(p\)-convexdemiclosedness principlelocally \(p\)-convex spaceSchauder conjecture\(p\)-inward and \(p\)-outward set\(p\)-vector space1-set contractive mapping

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)

Related Items (3)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings

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