Second-order necessary optimality conditions for optimization problems involving set-valued maps
From MaRDI portal
Publication:922294
DOI10.1007/BF01447327zbMath0709.90095MaRDI QIDQ922294
Publication date: 1990
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
set-valued mapsregularity conditionscontinuous minimax problemsecond order necessary optimality conditions
Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued maps in general topology (54C60) Optimality conditions for minimax problems (49K35) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items (2)
Second-order necessary optimality conditions via directional regularity ⋮ Parameter-free duality models and applications to semi-infinite minmax fractional programming based on second-order (\(\phi,\eta ,\rho ,\theta,\tilde{m}\))-sonvexities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order and related extremality conditions in nonlinear programming
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- Second order optimality conditions for the \(L_ 1\)-minimization problem
- On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
- Regularity and stability for the mathematical programming problem in Banach spaces
- Second-order optimality conditions for the extremal problem under inclusion constraints
- Further properties of the regularity of inclusion systems
- Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs
- Directional derivatives for the value-function in semi-infinite programming
- Regularity, calmness and support principle
- Regular Points of Lipschitz Functions
- Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
- On regularity conditions in mathematical programming
- A unified theory of first and second order conditions for extremum problems in topological vector spaces
- A New Approach to Lagrange Multipliers
- On Second Order Necessary Conditions of Optimality
- On the locally uniform openness of polyhedral sets
This page was built for publication: Second-order necessary optimality conditions for optimization problems involving set-valued maps