Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints
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Publication:1331107
DOI10.1007/BF02190315zbMath0808.49023MaRDI QIDQ1331107
Publication date: 9 August 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
directional derivativesmultivalued functionsmetric regularitysecond-order necessary optimality conditions
Related Items (14)
First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints ⋮ Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity ⋮ Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems ⋮ Metric Regularity and Optimality Conditions in Nonsmooth Optimization ⋮ An Induction Theorem and Nonlinear Regularity Models ⋮ New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives ⋮ New set-valued directional derivatives: calculus and optimality conditions ⋮ On gap functions for nonsmooth multiobjective optimization problems ⋮ Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations ⋮ Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints ⋮ Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints ⋮ Coderivatives of multivalued mappings, locally compact cones and metric regularity
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Metric regularity, tangent sets, and second-order optimality conditions
- Approximate subdifferential and metric regularity: The finite-dimensional case
- Second-order and related extremality conditions in nonlinear programming
- Stability and regular points of inequality systems
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
- On inverse function theorems for set-valued maps
- An open mapping principle for set-valued maps
- Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
- An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
- A general theory of necessary optimality conditions
- Regularity and stability for the mathematical programming problem in Banach spaces
- The upper and lower second order directional derivatives of a sup-type function
- Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
- On metric regularity of multifunctions
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- On Subdifferentials of Optimal Value Functions
- Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
- Lipschitzian properties of multifunctions
- Optimization and nonsmooth analysis
- Second-Order Necessary Conditions in Constrained Semismooth Optimization
- On the local surjection property
- Regularity and Stability for Convex Multivalued Functions
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- On regularity conditions in mathematical programming
- A unified theory of first and second order conditions for extremum problems in topological vector spaces
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
- Directionally Lipschitzian Functions and Subdifferential Calculus
- Metric regularity, openness and Lipschitzian behavior of multifunctions
- Regularity and strong sufficient optimality conditions in differentiable optimization problems
- Approximations and Metric Regularity in Mathematical Programming in Banach Space
- DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
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