Generalized radial epiderivatives and nonconvex set-valued optimization problems

DOI10.1080/00036811.2012.682057zbMath1280.90095OpenAlexW4234660237WikidataQ58257727 ScholiaQ58257727MaRDI QIDQ5894762

Jian-Wen Peng, Mu-Ming Wong, Xian-Jun Long

Publication date: 29 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.682057

zbMATH Keywords

optimality conditionweakly efficient solutionBenson proper efficient solutiongeneralized radial epiderivativenonconvex set-valued optimization problemradial cone

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items

New second-order radial epiderivatives and nonconvex set-valued optimization problems ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems

Cites Work

• Generalized Clarke epiderivatives of parametric vector optimization problems
• An improved definition of proper efficiency for vector maximization with respect to cones
• Contingent derivative of the perturbation map in multiobjective optimization
• Optimality conditions for set-valued optimization problems
• Contingent epiderivatives and set-valued optimization
• Optimality conditions in non-convex set-valued optimization
• Optimality conditions for proper efficient solutions of vector set-valued optimization.
• Weak Clarke epiderivative in set-valued optimization
• Contingent derivatives of set-valued maps and applications to vector optimization
• On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
• Set-valued derivatives of multifunctions and optimality conditions
• Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization
• The Lagrange Multiplier Rule in Set-Valued Optimization
• On the Existence of Pareto Efficient Points
• GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS
• Necessary and sufficient condiitions for multiobjective optimization problems
• Radial epiderivatives and set-valued optimization

This page was built for publication: Generalized radial epiderivatives and nonconvex set-valued optimization problems