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Error bounds and metric subregularity (Q4981844)

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scientific article; zbMATH DE number 6417938

Language	Label	Description	Also known as
English	Error bounds and metric subregularity	scientific article; zbMATH DE number 6417938

Statements

scholarly article

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Error bounds and metric subregularity (English)

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publication date

20 March 2015

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full work available at URL

https://arxiv.org/abs/1405.1130

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zbMATH Keywords

metric subregularity

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calmness

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set-valued mappings

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error bounds

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subdifferential slopes

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Alexander Y. Kruger

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MaRDI profile type

MaRDI publication profile

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Characterizations of error bounds for lower semicontinuous functions on metric spaces

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Nonlinear error bounds for lower semicontinuous functions on metric spaces

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First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings

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Metric regularity and subdifferential calculus

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On metric and calmness qualification conditions in subdifferential calculus

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Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization

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Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity

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Error bounds in mathematical programming

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Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces

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Metric subregularity for proximal generalized equations in Hilbert spaces

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Error bounds: necessary and sufficient conditions

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Variational Analysis and Generalized Differentiation I

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Variational Analysis

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Implicit Functions and Solution Mappings

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Calculus Without Derivatives

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On implicit multifunction theorems

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On some variational properties of metric spaces

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Regularity on a Fixed Set

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Nonlinear regularity models

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On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities

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About error bounds in metric spaces

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Error bounds for vector-valued functions: necessary and sufficient conditions

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Metric regularity of epigraphical multivalued mappings and applications to vector optimization

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On subregularity properties of set-valued mappings

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A Sard theorem for tame set-valued mappings

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An Invitation to Tame Optimization

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Convexity and Variational Analysis

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Implicit multifunction theorems in complete metric spaces

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Fréchet quasidifferential calculus with applications to metric regularity of continuous maps

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Convex difference criteria for the quantitative stability of parametric quasidifferentiable systems

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Exact penalty functions and calmness for mathematical programming under nonlinear perturbations

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Equivalent conditions for local error bounds

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On the Calmness of a Class of Multifunctions

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A subdifferential condition for calmness of multifunctions

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Calmness of constraint systems with applications

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Nonsmooth equations in optimization. Regularity, calculus, methods and applications

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Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms

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Sufficient conditions for error bounds and applications

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On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs

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On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs

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Post-Optimal Analysis in Linear Semi-Infinite Optimization

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On the variational principle

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On Fréchet subdifferentials

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Convexity and well-posed problems

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Nonsmooth Optimization

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The least slope of a convex function and the maximal monotonicity of its subdifferential

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On Lipschitz semicontinuity properties of variational systems with application to parametric optimization

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On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization

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Global attractors for gradient flows in metric spaces

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On the Asymptotically Well Behaved Functions and Global Error Bound for Convex Polynomials

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Linear and nonlinear error bounds for lower semicontinuous functions

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Remarks to an equivalent formulation of ekeland’s variational principle

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On error bounds for lower semicontinuous functions.

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Equivalent formulations of Ekeland's variational principle

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New uniform parametric error bounds

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Implicit multifunction theorems

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Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis

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Error bounds for systems of lower semicontinuous functions in Asplund spaces

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Perturbation Analysis of Error Bounds for Quasi-subsmooth Inequalities and Semi-infinite Constraint Systems

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Sufficient conditions for error bounds and linear regularity in Banach spaces

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Characterization of metric regularity for \({\sigma}\)-subsmooth multifunctions

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First-Order and Second-Order Conditions for Error Bounds

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On regularity concepts in variational analysis

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Coderivative conditions for error bounds of \(\gamma\)-paraconvex multifunctions

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A note on implicit multifunction theorems

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Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle

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Identifiers

zbMATH Open document ID

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10.1080/02331934.2014.938074

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4981844

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