Multi-objective infinite programming

DOI10.1016/j.camwa.2007.08.029zbMath1183.90380OpenAlexW2020004549MaRDI QIDQ2483062

Valeriano Antunes de Oliveira, Marko A. Rojas-Medar

Publication date: 5 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.08.029

zbMATH Keywords

multi-objective optimizationinvexityweakly efficient solutionsinfinite programming problemsKKT-invexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48)

Related Items (8)

On sufficient optimality conditions for multiobjective control problems ⋮ KT-invexity in optimal control problems ⋮ Proper efficiency in vector infinite programming problems ⋮ New optimality conditions for nonsmooth control problems ⋮ On strong KKT optimality conditions for multiobjective semi-infinite programming problems with Lipschitzian data ⋮ Optimality conditions for nonlinear infinite programming problems ⋮ Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications ⋮ On necessary optimality conditions for nonsmooth vector optimization problems with mixed constraints in infinite dimensions

Cites Work

• The essence of invexity
• Spectral analysis of a nonself-adjoint differential operator
• On sufficiency of the Kuhn-Tucker conditions
• Invex functions and generalized convexity in multiobjective programming
• Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces
• Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• A unified theory of first and second order conditions for extremum problems in topological vector spaces

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