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math.OC2008★ 25 cited
Necessary and sufficient conditions for local Pareto optimality on time scales
Agnieszka B. Malinowska, Delfim F. M. Torres
We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a nece…
math.OC2007★ 129 cited
Noether's Theorem on Time Scales
Zbigniew Bartosiewicz, Delfim F. M. Torres
We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremal…
math.OC2007★ 6 cited
A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization
Agnieszka B. Malinowska, Delfim F. M. Torres
The question of obtaining well-defined criteria for multiple criteria decision making problems is well-known. One of the approaches dealing with this question is the concept of non…