First-order optimality conditions in set-valued optimization

From MaRDI portal
Publication:2500789

DOI10.1007/s00186-005-0023-7zbMath1103.90089OpenAlexW1501788645MaRDI QIDQ2500789

Matteo Rocca, Ivan Ginchev, Giovanni Paolo Crespi

Publication date: 18 August 2006

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-005-0023-7




Related Items (39)

Applying set optimization to weak efficiencyHigher-order generalized Studniarski epiderivative and its applications in set-valued optimizationSome properties of generalized oriented distance function and their applications to set optimization problemsVariational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimizationFirst- and second-order optimality conditions in optimistic bilevel set-valued programmingHigher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering conesFirst and second-order optimality conditions without differentiability in multivalued vector optimizationLagrange multipliers in convex set optimization with the set and vector criteriaA note on ``Levitin-Polyak well-posedness in set optimization concerning Pareto efficiencyProperties of the nonlinear scalar functional and its applications to vector optimization problemsHigher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth OptimizationA Minty variational principle for set optimizationHigher-order optimality conditions for set-valued optimizationHigher-order conditions for strict efficiencyOptimality and duality in set-valued optimization utilizing limit setsA set scalarization function based on the oriented distance and relations with other set scalarizationsSecond-Order Modified Contingent Epiderivatives in Set-Valued OptimizationScalarizations for a unified vector optimization problem based on order representing and order preserving propertiesVariational sets of multivalued mappings and a unified study of optimality conditionsLagrange duality, stability and subdifferentials in vector optimizationCalmness and exact penalization in constrained scalar set-valued optimizationSufficient Conditions of Isolated Minimizers for Constrained Programming ProblemsA new nonlinear scalarization function and applicationsSix set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimizationSet Optimization—A Rather Short IntroductionSet Optimization Meets Variational InequalitiesOptimality conditions and duality for nonsmooth vector equilibrium problems with constraintsHigher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to dualityWell-posedness and stability in set optimization with applicationsScalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivativesA note on ``Scalarizations for a set optimization problem using generalized oriented distance functionHigher-order weak radial epiderivatives and non-convex set-valued optimization problemsHigher-order generalized radial epiderivative and its applications to set-valued optimization problemsSet Relations via Families of Scalar Functions and Approximate Solutions in Set OptimizationSecond-order composed contingent derivatives of perturbation maps in set-valued optimizationOPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVEScalarizations for a set optimization problem using generalized oriented distance functionSome characterizations of a nonlinear scalarizing function via oriented distance functionOn Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function



Cites Work


This page was built for publication: First-order optimality conditions in set-valued optimization