Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces

DOI10.1007/s43037-020-00098-3OpenAlexW3093391371MaRDI QIDQ2218282

Shaoqiang Shang, Yun An Cui

Publication date: 15 January 2021

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

Full work available at URL: https://doi.org/10.1007/s43037-020-00098-3

zbMATH Keywords

continuous selectionset-valued metric generalized inverse2-strictly convexalmost convex space

Mathematics Subject Classification ID

Set-valued operators (47H04) Selections in general topology (54C65) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Continuous selections of the set-valued metric generalized inverse in 2-strictly convex Banach spaces

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• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• Continuous Selections for Weakly Hausdorff Lower Semicontinuous Multifunctions
• A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties
• Set-valued analysis

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