Criteria for the single-valued metric generalized inverses of multi-valued linear operators in Banach spaces

DOI10.1007/s10114-012-9178-3zbMath1263.47004OpenAlexW2015361973MaRDI QIDQ1758020

Jian Zhang, Yu-Wen Wang, Yun An Cui

Publication date: 7 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10114-012-9178-3

zbMATH Keywords

Banach spacemetric generalized inversemulti-valued linear operator

Mathematics Subject Classification ID

Linear relations (multivalued linear operators) (47A06)

Related Items (2)

Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ Constrained extremal solutions of multi-valued linear inclusions in Banach spaces

Cites Work

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• Least-squares solutions of multi-valued linear operator equations in Hilbert spaces
• Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces
• Metric generalized inverse of linear operator in Banach space
• Metric generalized inverse for linear manifolds and extremal solutions of linear inclusion in Banach spaces
• Criteria for the metric generalized inverse and its selections in Banach spaces

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