1977/08/01 by F. Di Guglielmo · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Multi-Objective Optimization Algorithms #Topology Optimization in Engineering #Optimization and Variational Analysis #Duality (order theory) #Mathematics #Pareto principle #Duality gap #Mathematical optimization #Multi-objective optimization #Regular polygon #Optimization problem #Mathematical economics #Applied mathematics #Combinatorics
paper · doi:10.1287/moor.2.3.285
openalex publication_date 1977/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
Nonconvex duality properties for multiobjective optimization problems are obtained by using a characterization of Pareto optima by means of generalized Tchebycheff norms. Bounds for the corresponding duality gap are given, and approximate Pareto multipliers are constructed. A generalized notion of Pareto multipliers for quasi-convex multiobjective problems is introduced.