Some results on best approximation in locally convex spaces

DOI10.1016/0021-9045(80)90067-2zbMath0444.41018OpenAlexW2056439707MaRDI QIDQ1144744

S. P. Singh

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90067-2

zbMATH Keywords

fixed pointslocally convex spacesp-nonexpansive mappingsstar shaped

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Topological representations of algebraic systems (54H10)

Related Items (6)

Best approximations in locally convex spaces ⋮ On pointwise R-subweakly commuting maps and best approximations ⋮ Some common fixed point results for modified subcompatible maps and related invariant approximation results ⋮ Common fixed-point results in best approximation theory ⋮ An application of fixed point theorem to best approximation in locally convex space ⋮ Common fixed point and approximation results for noncommuting maps on locally convex spaces

Cites Work

• Approximate selections, best approximations, fixed points, and invariant sets
• An application of a fixed-point theorem to approximation theory
• Fixed points and stability for a sum of two operators in locally convex spaces
• Invarianz bei linearen Approximationen
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