Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations
DOI10.1007/s10898-021-01090-3zbMath1489.54021OpenAlexW4223433874MaRDI QIDQ2141732
Nguyen Xuan Duy Bao, Nguyen Minh Tung
Publication date: 25 May 2022
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-021-01090-3
sensitivity analysisequilibrium problemgeneralized equationHadamard derivativeRobinson directional metric subregularityStudniarski's derivative
Sensitivity, stability, parametric optimization (90C31) Set-valued maps in general topology (54C60) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Sensitivity analysis for optimization problems on manifolds (49Q12)
Cites Work
- Unnamed Item
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- Nonlinear regularity models
- Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization
- Sensitivity analysis of parametric weak vector equilibrium problems
- Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization
- Lower Studniarski derivative of the perturbation map in parametrized vector optimization
- Generalized Clarke epiderivatives of parametric vector optimization problems
- Calculus rules for derivatives of multimaps
- On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
- On proto-differentiability of generalized perturbation maps
- Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
- Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
- Sensitivity of solutions to a parametric generalized equation
- Coderivatives of frontier and solution maps in parametric multiobjective optimization
- Contingent derivative of the perturbation map in multiobjective optimization
- Coderivatives in parametric optimization
- Derivatives of the efficient point multifunction in parametric vector optimization problems
- Subdifferentials and stability analysis of feasible set and Pareto front mappings in linear multiobjective optimization
- Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations
- Calculus of tangent sets and derivatives of set-valued maps under metric subregularity conditions
- Sensitivity and stability analysis for nonlinear programming
- The Fermat Rule and Lagrange Multiplier Rule for Various Efficient Solutions of Set-Valued Optimization Problems Expressed in Terms of Coderivatives
- Optimality Conditions for Problems with Set–Valued Objectives
- Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
- On Subdifferentials of Optimal Value Functions
- Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
- Stability and Sensitivity Analysis in Convex Vector Optimization
- Sensitivity Analysis in Variational Inequalities
- Regularity and Stability for Convex Multivalued Functions
- Generalized equations and their solutions, Part I: Basic theory
- Sensitivity Analysis of Solutions to Generalized Equations
- Convergence of Newton's Method for Singular Smooth and Nonsmooth Equations Using Adaptive Outer Inverses
- Variational Analysis
- Variational Analysis and Applications
- Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization
- On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems
- Sensitivity of Solutions to Variational Inequalities on Banach Spaces
- Set-valued Optimization
- Higher order optimality conditions for inequality-constrained problems
- Sensitivity Analysis of Parameterized Variational Inequalities
- Set-valued analysis
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