Second-Order Modified Contingent Epiderivatives in Set-Valued Optimization

DOI10.1080/01630563.2013.811689zbMath1320.90076OpenAlexW2014269468MaRDI QIDQ5409725

Ben Liu, Kairong Wang

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.811689

zbMATH Keywords

optimality conditionsset-valued optimizationsecond-order modified contingent conessecond-order modified contingent epiderivatives

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (1)

On optimality conditions for quasi-relative efficient solutions in set-valued optimization

Cites Work

• New generalized second-order contingent epiderivatives and set-valued optimization problems
• Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization
• Optimality conditions for set-valued optimization problems
• Directional derivatives for set-valued mappings and applications
• Contingent epiderivatives and set-valued optimization
• Optimality conditions in non-convex set-valued optimization
• \(K\)-epiderivatives for set-valued functions and optimization
• Optimality conditions for proper efficient solutions of vector set-valued optimization.
• Second-order optimality conditions in set optimization
• First and second-order Lagrange claims for set-valued maps
• First-order optimality conditions in set-valued optimization
• First and second order optimality conditions for set-valued optimization problems
• Contingent derivatives of set-valued maps and applications to vector optimization
• Vector Optimization
• First and second order optimality conditions in set optimization
• A multiplier rule in set-valued optimisation
• Set-valued analysis

This page was built for publication: Second-Order Modified Contingent Epiderivatives in Set-Valued Optimization