Calmness and calculus: two basic patterns
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Publication:2116021
DOI10.1007/s11228-021-00589-xzbMath1484.49026arXiv2008.07114OpenAlexW3170463814MaRDI QIDQ2116021
Publication date: 15 March 2022
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07114
calculuscalmnessgeneralized differentiationset-valued analysisvariation analysisinner calmness\(^\ast\)
Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
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Cites Work
- Unnamed Item
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- Lipschitz and Hölder stability of optimization problems and generalized equations
- On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
- Lipschitz lower semicontinuity moduli for linear inequality systems
- On metric and calmness qualification conditions in subdifferential calculus
- Error bounds: necessary and sufficient conditions
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Foundations of bilevel programming
- Calculus of directional coderivatives and normal cones in Asplund spaces
- Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- Regularity and conditioning of solution mappings in variational analysis
- Stability analysis for parameterized variational systems with implicit constraints
- New sharp necessary optimality conditions for mathematical programs with equilibrium constraints
- Calculus for directional limiting normal cones and subdifferentials
- On the sequential normal compactness condition and its restrictiveness in selected function spaces
- On calmness of the argmin mapping in parametric optimization problems
- On M-stationarity conditions in MPECs and the associated qualification conditions
- The limiting normal cone to pointwise defined sets in Lebesgue spaces
- Calmness of constraint systems with applications
- On semiregularity of mappings
- On Lipschitzian Properties of Implicit Multifunctions
- Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
- Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
- Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
- Some continuity properties of polyhedral multifunctions
- Variational Analysis
- Variational Analysis and Applications
- The limiting normal cone of a complementarity set in Sobolev spaces
- On the Calmness of a Class of Multifunctions
- Variational Analysis of Regular Mappings
- Implicit Functions and Solution Mappings
- The Theory of Max-Min, with Applications
- Convex Analysis
- New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis
- On a Semismooth* Newton Method for Solving Generalized Equations
- Set-valued analysis