Directional metric pseudo subregularity of set-valued mappings: a general model

DOI10.1007/s11228-019-00522-3zbMath1439.49028OpenAlexW2990088724WikidataQ126760966 ScholiaQ126760966MaRDI QIDQ2174922

Nguyen Van Vu, Michel Théra, Nguyen Huu Tron, Huynh Van Ngai

Publication date: 27 April 2020

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-019-00522-3

zbMATH Keywords

coderivativemetric regularitymetric subregularityslopeabstract subdifferentialdirectional Hölder metric subregularitydirectional metric pseudo-subregularitydirectional metric regularity

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (2)

Pseudo metric subregularity and its stability in asplund spaces ⋮ Nonlinear metric regularity on fixed sets

Cites Work

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• An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
• On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs
• Directional Hölder metric regularity
• Nonlinear metric subregularity
• On regularity concepts in variational analysis
• Stability and regular points of inequality systems
• Error bounds and Hölder metric subregularity
• On semiregularity of mappings
• On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
• Calculus Without Derivatives
• METRIC REGULARITY—A SURVEY PART 1. THEORY
• METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
• Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations
• Directional Metric Regularity of Multifunctions
• Directional Regularity and Metric Regularity
• Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
• Metric regularity, openness and Lipschitzian behavior of multifunctions
• Variational Analysis
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Variational Analysis of Regular Mappings
• Error bounds and metric subregularity
• On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs
• Newton-Type Methods for Optimization and Variational Problems
• Implicit Functions and Solution Mappings
• Convexity and Variational Analysis

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