Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency

DOI10.1080/02331939508844093zbMath0855.90115OpenAlexW2027454617MaRDI QIDQ4888258

Publication date: 3 February 1997

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939508844093

zbMATH Keywords

necessary and sufficient conditions duality theory locally Lipschitz Gateaux differentiable scalarizations nonsmooth constrained multiobjective optimization conditional proper efficiency \(V\)-quasi-invex functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

Related Items (16)

Some nondifferentiable multiobjective programming problems ⋮ Optimality and duality in nonsmooth composite vector optimization and applications ⋮ Optimality and duality in multiobjective fractional programming involving \(\rho\)-semilocally type I-preinvex and related functions ⋮ Optimality conditions for a class of composite multiobjective nonsmooth optimization problems ⋮ Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds ⋮ Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions ⋮ Conjugate duality for multiobjective composed optimization problems ⋮ Nonconvex composite multiobjective nonsmooth fractional programming ⋮ Optimality and duality for multiple-objective optimization under generalized type I univexity ⋮ Lagrange multipliers saddle points and scalarizations in composite multiobjective nonsmooth programming ⋮ On nonlinear multiple objective fractional programming involving semilocally type-I univex functions ⋮ Optimality and duality for nonsmooth multiobjective programming problems with \(V\)-\(r\)-invexity ⋮ Multiple objective fractional programming involving semilocally type I-preinvex and related functions ⋮ Saddle point criteria and Wolfe duality in nonsmooth (Φ, ρ)-invex vector optimization problems with inequality and equality constraints ⋮ A new approach to strong duality for composite vector optimization problems ⋮ Composite nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity

Cites Work

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