A note on Robinson-Ursescu and Lyusternik-Graves theorem

DOI10.1007/s10107-013-0662-zzbMath1275.49025OpenAlexW2002532836MaRDI QIDQ353159

Radek Cibulka, Marian J. Fabian

Publication date: 12 July 2013

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-013-0662-z

zbMATH Keywords

open mappingconvex constraintsGraves' theoremrestrictive metric regularityRobinson-Ursescu theorem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items

Lyusternik--Graves Theorems for the Sum of a Lipschitz Function and a Set-valued Mapping ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ On primal regularity estimates for single-valued mappings ⋮ On primal regularity estimates for set-valued mappings ⋮ Global inversion for metrically regular mappings between Banach spaces

Cites Work

• Unnamed Item
• Linear selections for set-valued functions and extension of bilinear forms
• Inverse and implicit function theorems for nonsmooth maps in Banach spaces
• A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball
• Restrictive metric regularity and generalized differential calculus in Banach spaces
• Constrained open mapping theorem with applications
• Banach space theory. The basis for linear and nonlinear analysis
• Some mapping theorems
• Implicit Functions and Solution Mappings
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Metric regularity and subdifferential calculus
• On the Closedness of the Linear Image of a Closed Convex Cone