Abstract
THE CLASSICAL Dubovicki-Milutin method described in [2] can be applied to obtain a necessary condition of optimality for optimization problems with only one equality constraint. In [9, 3, 6, 71 are given some generalizations of the Dubovicki-Milutin theorem which admit a greater number of equality constraints in optimization problems. Problems of Pareto optimality solved on the base of the Dubovicki-Milutin theorem have been considered in [ 11. By combination of the results of [9] and [l] in [4] is given a generalization of the Dubovicki-Milutin theorem for Pareto optimal problems with multi-equality constraints in a Banach space. In the present paper following [l] and [6] we derive some specification of the Dubovicki-Milutin theorem for Pareto optimal problems with multi-equality constraints given in the operator form.
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