Uniform Convexity in Nonsymmetric Spaces
Игорь Германович Царьков
Abstract
Uniformly convex asymmetric spaces are defined. It is proved that every nonempty closed convex set in a uniformly convex complete asymmetric space is a set of approximative uniqueness (and, in particular, a Chebyshev set).
Topics & Concepts
MathematicsSubderivativeConvexityConvex setUniformly convex spaceAbsolutely convex setConvex analysisRegular polygonUniquenessPure mathematicsReflexive spaceChebyshev filterSet (abstract data type)Space (punctuation)Mathematical analysisCombinatoricsBanach spaceConvex optimizationInterpolation spaceGeometryLp spaceFunctional analysisEberlein–Šmulian theoremPhilosophyEconomicsLinguisticsBiochemistryGeneProgramming languageComputer scienceFinancial economicsChemistryAdvanced Banach Space TheoryFixed Point Theorems AnalysisOptimization and Variational Analysis