Invex nonsmooth alternative theorem and applications*

DOI10.1080/02331930008844504zbMath0960.90082OpenAlexW2008688745MaRDI QIDQ4512755

Marko A. Rojas-Medar, Adilson J. V. Brandão, Geraldo Nunes Silva

Publication date: 5 November 2000

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930008844504

zbMATH Keywords

dualitymultiobjective optimizationGordan's alternative theoreminvex constrained nonsmooth optimizationvector saddlepoint theorem

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52)

Related Items (8)

Efficiency and generalised convexity in vector optimisation problems ⋮ New optimality conditions for nonsmooth control problems ⋮ \(L\)-invex-infine functions and applications ⋮ Some relations between variational-like inequalities and efficient solutions of certain nonsmooth optimization problems ⋮ Optimality and duality for multiple-objective optimization under generalized type I univexity ⋮ Necessary and sufficient conditions for weak efficiency in non-smooth vectorial optimization problems ⋮ Generalized ( ,α, ρ, θ)–d–V–univex functions and non-smooth alternative theorems ⋮ Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification

Cites Work

• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Perfect duality for convexlike programs
• Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function
• Proper efficiency and the theory of vector maximization
• Invexity and generalized convexity
• Nonsmooth invexity
• Convexlike alternative theorems and mathematical programming
• Nondifferentiable optimization by smooth approximations
• What is invexity?
• Invex functions and constrained local minima
• Duality in Nonlinear Programming: A Simplified Applications-Oriented Development

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