Various continuities of metric projections in \(C_ 0(T,X)\)

DOI10.1016/0021-9045(89)90053-1zbMath0688.41037OpenAlexW2059332543MaRDI QIDQ1263770

Wu Li

Publication date: 1989

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90053-1

zbMATH Keywords

metric projectionperturbation theoremalmost lower semicontinuity

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\) ⋮ Concepts of lower semicontinuity and continuous selections for convex valued multifunctions ⋮ An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\) ⋮ Abadie's constraint qualification, Hoffman's error bounds, and Hausdorff strong unicity

Cites Work

• Continuous selections. I
• Lipschitz conditions, strong uniqueness, and almost Chebyshev subspaces of C(X)
• On a theorem of Deutsch and Kenderov
• A continuity condition for the existence of a continuous selection for a set-valued mapping
• Best approximation in the space of continuous vector-valued functions
• Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings
• The set of continuous selections of a metric projection in C(X)
• An intrinsic characterization of lower semicontinuity of the metric projection in \(C_ 0(T,X)\)
• On the lower semicontinuity of the set-valued metric projection
• Continuous selections for metric projections
• Continuity of the set-valued metric projection
• On continuous selections for metric projections in spaces of continuous functions
• A survey of metric selections
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
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