Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization

From MaRDI portal
Publication:642601

DOI10.1016/j.na.2011.07.055zbMath1251.90386OpenAlexW1967764519MaRDI QIDQ642601

Nguyen Le Hoang Anh, Le Thanh Tung, Phan Quoc Khanh

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.055




Related Items (27)

Sensitivity analysis in constrained set-valued optimization via Studniarski derivativesOn higher-order adjacent derivative of perturbation map in parametric vector optimizationOn optimality conditions for quasi-relative efficient solutions in set-valued optimizationHigher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equationsHigher-order optimality conditions in set-valued optimization using radial sets and radial derivativesQuasi-contingent derivatives and studies of higher-orders in nonsmooth optimizationVariational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimizationOn higher-order proto-differentiability of perturbation mapsHigher-order tangent derivative and its applications to sensitivity analysisHigher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering conesVariational sets and asymptotic variational sets of proper perturbation map in parametric vector optimizationNecessary and sufficient conditions for robust minimal solutions in uncertain vector optimizationOn higher-order sensitivity analysis in nonsmooth vector optimizationSecond-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization ProblemsSecond-order lower radial tangent derivatives and applications to set-valued optimizationDuality and its applications to optimality conditions with nonsolid conesOptimality conditions in set optimization employing higher-order radial derivativesHigher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivativesHigher-order optimality conditions and duality for approximate solutions in non-convex set-valued optimizationOptimality conditions and duality for nonsmooth vector equilibrium problems with constraintsHigher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to dualityCalculus rules of the generalized contingent derivative and applications to set-valued optimizationHigher-order tangent epiderivatives and applications to duality in set-valued optimizationMixed Type Duality for Set-valued Optimization Problems via Higher-order Radial EpiderivativesHigher-order generalized radial epiderivative and its applications to set-valued optimization problemsSecond-order composed contingent derivatives of perturbation maps in set-valued optimizationHigher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets



Cites Work


This page was built for publication: Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization