Second-order optimality conditions with the envelope-like effect for set-valued optimization
From MaRDI portal
Publication:887118
DOI10.1007/s10957-015-0728-6zbMath1327.90287OpenAlexW2015832797MaRDI QIDQ887118
Phan Quoc Khanh, Nguyen Minh Tung
Publication date: 28 October 2015
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-015-0728-6
optimality conditionsecond-order contingent derivativefirm minimizerKurcyusz-Robinson-Zowe constraint qualificationweak minimizer
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)
Related Items
Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization, New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives, New higher-order strong Karush-Kuhn-Tucker conditions for proper solutions in nonsmooth optimization, On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems, New set-valued directional derivatives: calculus and optimality conditions, Necessary optimality conditions for second-order local strict efficiency for constrained nonsmooth vector equilibrium problems, Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization, Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures, Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization subject to mixed constraints, Second-order necessary and sufficient optimality conditions for constrained vector equilibrium problem with applications, Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints, Second-order efficiency conditions for $C^{1,1}$-vector equilibrium problems in terms of contingent derivatives and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints
- Metric regularity, tangent sets, and second-order optimality conditions
- Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions
- On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
- First and second-order optimality conditions without differentiability in multivalued vector optimization
- Optimality conditions for weak and firm efficiency in set-valued optimization
- Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives
- Variational sets of multivalued mappings and a unified study of optimality conditions
- An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
- Second-order optimality conditions in set optimization
- Optimality conditions in differentiable vector optimization via second-order tangent sets
- 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
- Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization
- Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. I: \(l\)-stability and set-valued directional derivatives
- Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions
- Second-order optimality conditions in set-valued optimization via asymptotic derivatives
- Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
- Implicit Functions and Solution Mappings
- Strict Efficiency in Set-Valued Optimization
- Dubovitskii–Milyutin Approach 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
- The Lagrange Multiplier Rule in Set-Valued Optimization
- Optimality conditions for maximizations of set-valued functions
- Set-valued analysis
- Strict efficiency in vector optimization