Approximative compactness and continuity of the set-valued metric generalized inverse in Banach spaces

DOI10.1016/j.jmaa.2014.09.034zbMath1311.46017OpenAlexW1972778431MaRDI QIDQ465229

Shaoqiang Shang, Yun An Cui

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.034

zbMATH Keywords

strict convexityapproximative compactnessmetric generalized inverse\(k\)-Chebyshev setnearly dentable

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Equations and inequalities involving linear operators, with vector unknowns (47A50) Applications of operator theory in numerical analysis (47N40)

Related Items (6)

Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ Continuous selections of the set-valued metric generalized inverse in 2-strictly convex Banach spaces ⋮ Metric projection operator and continuity of the set-valued metric generalized inverse in Banach spaces ⋮ Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces ⋮ Perturbation analysis of the Moore-Penrose metric generalized inverse with applications

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