scientific article; zbMATH DE number 6128466

zbMath1264.49016MaRDI QIDQ4903670

Hélène Frankowska, Asen L. Dontchev

Publication date: 24 January 2013

Full work available at URL: http://www.heldermann.de/JCA/JCA19/JCA194/jca19050.htm

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zbMATH Keywords

metric regularitylinear opennesscontraction mappingset-valued analysisAubin propertyLyusternik-Graves theoremMilyutin theorem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (13)

On directional subregularity of mappings ⋮ Metric subregularity of composition set-valued mappings with applications to fixed point theory ⋮ Convergence of inexact Newton methods for generalized equations ⋮ Metrically Regular Mapping and Its Utilization to Convergence Analysis of a Restricted Inexact Newton-Type Method ⋮ An inverse map result and some applications to sensitivity of generalized equations ⋮ On subregularity properties of set-valued mappings ⋮ Constraint qualification with Schauder basis for infinite programming problems ⋮ Chain rules for linear openness in metric spaces and applications ⋮ Metric regularity, fixed points and some associated problems of variational analysis ⋮ Altering points in partial metric space ⋮ Linear openness of the composition of set-valued maps and applications to variational systems ⋮ Stability results of variational systems under openness with respect to fixed sets ⋮ Metric regularity of composition set-valued mappings: metric setting and coderivative conditions

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