On vector variational-like inequalities and set-valued optimization problems

DOI10.1007/s11590-010-0190-1zbMath1213.90261OpenAlexW1972995031MaRDI QIDQ628653

Sheng Jie Li, Jing Zeng

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11590-010-0190-1

zbMATH Keywords

generalized invexitygeneralized Lagrange multiplier rule

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Related Items (10)

Efficiency through variational-like inequalities with Lipschitz functions ⋮ On vector variational-like inequalities and vector optimization problems with \(\left ({G,\alpha} \right)\)-invexity ⋮ The existence of contingent epiderivative for a set-valued mapping and vector variational-like inequalities ⋮ Generalized vector variational-like inequalities and vector optimization ⋮ On set-valued optimization problems and vector variational-like inequalities ⋮ Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps ⋮ Henig globally efficiency for set-valued optimization and vector variational inequality ⋮ Second-order asymptotic differential properties and optimality conditions for weak vector variational inequalities ⋮ Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities ⋮ Stability for differential mixed variational inequalities

Cites Work

• Characterization of nonsmooth quasiconvex and pseudoconvex functions
• On strongly \(\alpha\)-preinvex functions
• Vector optimization and variational-like inequalities
• Theory of multiobjective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Lagrangian duality for preinvex set-valued functions
• Generalized invex monotonicity
• Relationships between vector variational-like inequality and optimization problems
• Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
• A survey of recent developments in multiobjective optimization
• Vector variational-like inequalities and non-smooth vector optimization problems
• Invexity and generalized convexity
• The Lagrange Multiplier Rule in Set-Valued Optimization
• Set-valued analysis
• Semistrictly preinvex functions
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