New higher-order strong Karush-Kuhn-Tucker conditions for proper solutions in nonsmooth optimization
From MaRDI portal
Publication:2178886
DOI10.1007/s10957-020-01654-5zbMath1464.90093OpenAlexW3012981734MaRDI QIDQ2178886
Publication date: 11 May 2020
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-020-01654-5
constraint qualificationhigher-order optimality conditioncomplementarity slacknessBenson-proper solutioncontingent-type derivativedirectional metric subregularityHenig-proper solutionpositively proper solution
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)
Related Items
Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity, Higher-order efficiency conditions for continuously directional differentiable vector equilibrium problem with constraints, On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems, Necessary optimality conditions for second-order local strict efficiency for constrained nonsmooth vector equilibrium problems, Unnamed Item, Optimality conditions in terms of contingent epiderivatives for strict local Pareto minima in vector optimization problems with constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear regularity models
- Metric regularity, tangent sets, and second-order optimality conditions
- Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints
- On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
- Higher order optimality conditions for Henig efficient solutions in set-valued optimization
- Second-order optimality conditions with the envelope-like effect for set-valued optimization
- On programming when the positive cone has an empty interior
- Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications
- Optimality conditions for weak and firm efficiency in set-valued optimization
- Higher-order optimality conditions for set-valued optimization
- Higher order weak epiderivatives and applications to duality and optimality conditions
- Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization
- An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
- An improved definition of proper efficiency for vector maximization with respect to cones
- Proper efficiency with respect to cones
- Proper solutions of vector optimization problems
- Near-subconvexlikeness in vector optimization with set-valued functions
- On weak and strong Kuhn-Tucker conditions for smooth multiobjective optimization
- Second-order optimality conditions for strict efficiency of constrained set-valued optimization
- Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
- New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization
- Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions
- The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
- Proper efficiency and the theory of vector maximization
- Second-order optimality conditions in set-valued optimization via asymptotic derivatives
- Generalized Higher-Order Optimality Conditions for Set-Valued Optimization under Henig Efficiency
- An Induction Theorem and Nonlinear Regularity Models
- Regularity and Stability for Convex Multivalued Functions
- Second-Order Conditions for Optimization Problems with Constraints
- The Lagrange Multiplier Rule in Set-Valued Optimization
- Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization
- Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization
- On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs
- Multicriteria Optimization
- Set-valued Optimization
- Set-valued analysis
- Optimality conditions for maximizations of set-valued functions