The modulus of coninuity of the set-valued metric projection

DOI10.1007/BF01895135zbMath0495.41024MaRDI QIDQ3958899

G. Godini

Publication date: 1981

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

inner product spacesmetric projectionproximinal subspace

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in \(L^ 1\)

Cites Work

• Smoothness of approximation
• On nonlinear projections in Banach spaces
• On the complemented subspaces problem
• Some theorems on Cebysev approximation
• The continuity of best approximations
• Another Approximation Theoretic Characterization of Inner Product Spaces
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
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