Optimality conditions for vector optimization problems

DOI10.1007/s10957-009-9514-7zbMath1180.90289OpenAlexW2077017001MaRDI QIDQ1035917

Nan-Jing Huang, Jun Li, Soon-Yi Wu

Publication date: 4 November 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9514-7

zbMATH Keywords

vector optimizationoptimality conditionpartial calmnesspenalty problem

Mathematics Subject Classification ID

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

Related Items

Necessary conditions for efficiency in terms of the Michel–Penot subdifferentials ⋮ Optimality conditions in quasidifferentiable vector optimization ⋮ Multiobjective optimization with least constraint violation: optimality conditions and exact penalization ⋮ Scalarization in geometric and functional vector optimization revisited ⋮ Multiobjective DC programs with infinite convex constraints ⋮ Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems

Cites Work

• A generalized derivative for calm and stable functions
• Characterizations of the nonemptiness and compactness of solution sets in convex vector optimization
• Ideal, weakly efficient solutions for vector optimization problems
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• A survey of recent developments in multiobjective optimization
• Vector optimization. Set-valued and variational analysis.
• Necessary Conditions in Nonsmooth Optimization
• Optimization and nonsmooth analysis
• Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
• An Existence Theorem in Vector Optimization
• Semiregularity and Generalized Subdifferentials with Applications to Optimization
• Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
• Nondifferentiable Multiplier Rules for Optimization and Bilevel Optimization Problems
• Lagrange Multipliers for Nonconvex Generalized Gradients with Equality, Inequality, and Set Constraints
• Optimality conditions for bilevel programming problems
• Weak Sharp Minima in Multicriteria Linear Programming
• Convex Analysis
• Generalized invexity and duality in multiobjective programming problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item