Strongly regular nonsmooth generalized equations

DOI10.1007/s10107-013-0717-1zbMath1301.49043OpenAlexW2138718381MaRDI QIDQ463747

Alexey F. Izmailov

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10107-013-0717-1

zbMATH Keywords

strong regularityimplicit function theoremgeneralized equationsgeneralized Jacobianinverse function theorem\(CD\)-regularity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Newton's method for generalized equations: a sequential implicit function theorem
• On the inverse function theorem
• The Josephy-Newton method for semismooth generalized equations and semismooth SQP for optimization
• Multiplier methods for optimization problems with Lipschitzian derivatives
• Implicit Functions and Solution Mappings
• Optimization and nonsmooth analysis
• Strongly Regular Generalized Equations
• Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations
• Variational Analysis
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Unnamed Item

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