Second-order asymptotic differential properties and optimality conditions for weak vector variational inequalities

DOI10.1007/s11590-011-0276-4zbMath1280.90124OpenAlexW1977277764MaRDI QIDQ691384

M. C. Fu

Publication date: 30 November 2012

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0276-4

zbMATH Keywords

gap functionasymptotic second-order contingent derivativeweak vector variational inequalities

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (3)

Differential properties and optimality conditions for generalized weak vector variational inequalities ⋮ Variational sets and asymptotic variational sets of proper perturbation map in parametric vector optimization ⋮ Derivatives of set-valued maps and gap functions for vector equilibrium problems

Cites Work

• On vector variational-like inequalities and set-valued optimization problems
• Second-order differential and sensitivity properties of weak vector variational inequalities
• New second-order directional derivative and optimality conditions in scalar and vector optimization
• Nonlinear analysis and variational problems. In Honor of George Isac
• Differential and sensitivity properties of gap functions for vector variational inequalities
• Second-order optimality conditions in set optimization
• Optimality conditions in differentiable vector optimization via second-order tangent sets
• Differential and sensitivity properties of gap functions for Minty vector variational inequalities
• On sufficient second order optimality conditions in multiobjective optimization
• Second-Order Conditions for Optimization Problems with Constraints
• First and second order optimality conditions in vector optimization
• Set-valued analysis
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