Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under \((\varPhi, \rho)\)-invexity

DOI10.1016/j.na.2011.12.009zbMath1235.90133OpenAlexW2033478035MaRDI QIDQ765241

Tadeusz Antczak

Publication date: 19 March 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.12.009

zbMATH Keywords

optimality conditionsClarke subdifferentialproper efficiencynonsmooth multiobjective programmingnonsmooth \((\varPhi , \rho )\)-invexity

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (8)

On sufficient optimality conditions for multiobjective control problems ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (\(\Phi\), \(\rho\))-\(V\)-type I functions ⋮ Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis ⋮ Vector critical points and cone efficiency in nonsmooth vector optimization ⋮ Optimality and duality in nonsmooth conic vector optimization ⋮ Sufficiency and duality for multiobjective programming under new invexity ⋮ Saddle point criteria and Wolfe duality in nonsmooth (Φ, ρ)-invex vector optimization problems with inequality and equality constraints ⋮ Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification

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