Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces

DOI10.1007/s10114-012-0286-xzbMath1270.47002OpenAlexW2063365949MaRDI QIDQ1943012

Henryk Hudzik, Hai Feng Ma, Yu-Wen Wang

Publication date: 14 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0286-x

zbMATH Keywords

metric projectionapproximative compactnessmetric generalized inversecontinuous homogeneous selection

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (6)

Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ The metric generalized inverse and its single-value selection in the pricing of contingent claims in an incomplete financial market ⋮ Continuous selections of the set-valued metric generalized inverse in 2-strictly convex Banach spaces ⋮ Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces ⋮ Perturbations of Moore-Penrose metric generalized inverses of linear operators in Banach spaces ⋮ Perturbation analysis of the Moore-Penrose metric generalized inverse with applications

Cites Work

• Approximative compactness and continuity of metric projector in Banach spaces and applications
• A generalized transversality in global analysis
• (1. 2) inverses of operators between Banach spaces and local conjugacy theorem
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Metric generalized inverse of linear operator in Banach space
• Criteria for the metric generalized inverse and its selections in Banach spaces
• Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
• Orthogonally Complemented Subspaces in Banach Spaces
• Least Extremal Solutions of Ill-Posed Neumann Boundary Value Problem for Semilinear Elliptic Equations inL^p
• A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties
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