New set-valued directional derivatives: calculus and optimality conditions
DOI10.1007/s10957-023-02185-5zbMath1528.90249OpenAlexW4327861316MaRDI QIDQ6161541
Nguyen Minh Tung, Nguyen Xuan Duy Bao
Publication date: 27 June 2023
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-023-02185-5
nonsmooth optimizationweak solutiondirectional derivativesmultiplier rulesstrict solutiondirectional Hölder metric subregularity
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for problems in abstract spaces (49K27)
Cites Work
- Unnamed Item
- Unnamed Item
- Directional Hölder metric regularity
- Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints
- 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
- Calculus rules for derivatives of multimaps
- On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
- Second-order optimality conditions with the envelope-like effect for set-valued optimization
- Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
- From scalar to vector optimization.
- New second-order directional derivative and optimality conditions in scalar and vector optimization
- An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
- On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints
- Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints
- Optimality conditions for \(C^{1,1}\) constrained multiobjective problems
- Optimality conditions in differentiable vector optimization via second-order tangent sets
- Second-order optimality conditions for strict efficiency of constrained set-valued optimization
- Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions
- Second-order conditions in \(C^{1,1}\) constrained vector optimization
- Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
- Calmness and Stability Properties of Marginal and Performance Functions
- First order optimality conditions in vector optimization involving stable functions
- Strict Efficiency in Set-Valued Optimization
- Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
- Regularity and Stability for Convex Multivalued Functions
- Second-Order Conditions for Optimization Problems with Constraints
- Nonsmooth Optimum Problems with Constraints
- Variational Analysis
- Higher-Order Optimality Conditions and Higher-Order Tangent Sets
- Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization
- Set-valued Optimization
- Set-valued analysis
- Optimality conditions for \(C^{1,1}\) vector optimization problems
- Strict efficiency in vector optimization
This page was built for publication: New set-valued directional derivatives: calculus and optimality conditions
