Slopes of multifunctions and extensions of metric regularity

zbMath1292.49020MaRDI QIDQ2446156

Huynh Van Ngai, Michel Théra, Alexander Y. Kruger

Publication date: 16 April 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/vjm/VJM_40/355-369.htm

zbMATH Keywords

multifunctionerror boundsvariational analysismetric regularityslope

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (11)

On directional subregularity of mappings ⋮ Stability of \(p\)-order metric regularity ⋮ An Induction Theorem and Nonlinear Regularity Models ⋮ Directional Metric Regularity of Multifunctions ⋮ On the stability of the directional regularity ⋮ A generalized scalarization method in set optimization with respect to variable domination structures ⋮ Unnamed Item ⋮ Preconditioned proximal point methods and notions of partial subregularity ⋮ A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approach ⋮ Some characterizations of error bound for non-lower semicontinuous functions ⋮ Metric regularity relative to a cone

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