Optimality conditions for \(C^{1,1}\) vector optimization problems
From MaRDI portal
Publication:5945072
DOI10.1023/A:1017519922669zbMath1038.49027OpenAlexW1574936051MaRDI QIDQ5945072
Angelo Guerraggio, Dinh The Luc
Publication date: 2001
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1017519922669
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items
Generalization of \(C^{1,1}\) property in infinite dimension ⋮ On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming ⋮ Necessary conditions for vector optimization in infinite dimension ⋮ First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces ⋮ On scalar and vector \(\ell \)-stable functions ⋮ New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives ⋮ First- and second-order optimality conditions in optimistic bilevel set-valued programming ⋮ New second-order limiting directional derivatives and \(C^1\)-optimization ⋮ New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization ⋮ On second-order optimality conditions in constrained multiobjective optimization ⋮ First order optimality conditions in vector optimization involving stable functions ⋮ Optimality conditions for nonsmooth vector problems in normed spaces ⋮ On relations of vector optimization results with \(C^{1,1}\) data ⋮ New set-valued directional derivatives: calculus and optimality conditions ⋮ Optimality conditions for \(C^{1,1}\) constrained multiobjective problems ⋮ On second-order Fritz John type optimality conditions for a class of differentiable optimization problems ⋮ Second-order conditions for constrained vector optimization problems with ℓ-stable data ⋮ On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization ⋮ Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives ⋮ From scalar to vector optimization. ⋮ Second order optimality conditions for bilevel set optimization problems ⋮ Vector critical points and efficiency in vector optimization with Lipschitz functions ⋮ Second-order efficiency conditions for $C^{1,1}$-vector equilibrium problems in terms of contingent derivatives and applications ⋮ Second-order conditions in \(C^{1,1}\) constrained vector optimization ⋮ Continuity properties of solution maps of parametric lexicographic equilibrium problems
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- Theory of multiobjective optimization
- Proper efficiency with respect to cones
- Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
- Convex vector functions and their subdifferential
- Second-order optimality conditions in multiobjective optimization problems
- Proper solutions of vector optimization problems
- On the notion of proper efficiency in vector optimization
- Efficiency and generalized concavity
- On the properly efficient points of nonconvex sets
- Optimization and nonsmooth analysis
- Nonsmooth multiobjective programming
- On second-order sufficient optimality conditions for c 1,1-optimization problems
- Second-order necessary and sufficient conditions in multiobjective programming∗
- Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
- Taylor’s Formula for $C^{k,1} $ Functions