Approximation in multiobjective optimization

DOI10.1007/BF00122049zbMath0784.90067OpenAlexW2094016518MaRDI QIDQ1187837

B. Lemaire

Publication date: 23 July 1992

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00122049

zbMATH Keywords

multiobjective optimizationvariational approximationMosco-convergenceepiconvergenceexterior penalty method\(\varepsilon\)-efficient setapproximate Pareto efficient sets

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Numerical optimization and variational techniques (65K10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (15)

Stability of minimizers of set optimization problems ⋮ Convergence of the efficient sets ⋮ Pareto Optimizing and Kuhn–Tucker Stationary Sequences ⋮ On several concepts for \(\varepsilon\)-efficiency ⋮ Variational convergence for vector-valued functions and its applications to convex multiobjective optimization ⋮ Convergence of relaxed minimizers in set optimization ⋮ Duality related to approximate proper solutions of vector optimization problems ⋮ Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions ⋮ Variational convergence of composed convex functions ⋮ On Finite and Strong Convergence of a Proximal Method for Equilibrium Problems ⋮ Technical efficiency and distance to a reverse convex set ⋮ Pareto optimizing and scalarly stationary sequences ⋮ Second-order efficiency conditions and sensitivity of efficient points ⋮ Approximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problems ⋮ Generalized \({\varepsilon }\)-quasi solutions of set optimization problems

Cites Work

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• Multiobjective programming and penalty functions
• Epsilon efficiency
• Uniform convergence and Pareto optimality
• Mathematical methods of game and economic theory
• Convergence Conditions for Nonlinear Programming Algorithms

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