Optimality and duality for proper and isolated efficiencies in multiobjective optimization

DOI10.1016/j.na.2012.08.005zbMath1252.49018OpenAlexW2063085202MaRDI QIDQ715681

Thai Doan Chuong

Publication date: 31 October 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.2012.08.005

zbMATH Keywords

dualitymultiobjective optimizationoptimality conditionMordukhovich subdifferential\(L\)-invex-infine functionisolated minimizer

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15) Optimality conditions (49K99)

Related Items (6)

Weak sharp efficiency in multiobjective optimization ⋮ On isolated/properly efficient solutions in nonsmooth robust semi-infinite multiobjective optimization ⋮ Isolated and proper efficiencies in semi-infinite vector optimization problems ⋮ Optimality conditions and duality in nonsmooth multiobjective optimization problems ⋮ Characterizing robust weak sharp solution sets of convex optimization problems with uncertainty ⋮ A class of nonsmooth fractional multiobjective optimization problems

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