About duality and alternative in multi-objective optimization. (English) Zbl 0597.90086

McLinden’s result on the equivalence between a theorem of the alternative and a duality theorem for constrained optimization problems [see L. McLinden, Proc. Amer. Math. Soc. 53, 172-175 (1975; Zbl 0308.90046)] is extended to the multiobjective case. We then discuss some existing results on that topic and present an alternative approach to duality relations in conditionally complete lattices.


90C31 Sensitivity, stability, parametric optimization
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[1] McLinden, L.,Duality Theorems and Theorems of the Alternative, Proceedings of the American Mathematical Society, Vol. 5, pp. 172-175, 1975. · Zbl 0287.90031
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