Metric projection operator and continuity of the set-valued metric generalized inverse in Banach spaces
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Publication:2405888
DOI10.1155/2017/7151430zbMath1387.46020OpenAlexW2739944647WikidataQ59146427 ScholiaQ59146427MaRDI QIDQ2405888
Jingxin Zhang, Shaoqiang Shang
Publication date: 28 September 2017
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/7151430
best approximationmetric projectionapproximative compactnessproximinal setcontinuity of set-valued mapsset-valued generalized metric inverse
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Equations and inequalities involving linear operators, with vector unknowns (47A50)
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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, Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces
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