Further generalization of the Dubovicki-Milutin theorem
Combining the results of \textit{W. Walczak} [ibid. 42, 561-582 (1984; Zbl 0504.52001)] and \textit{I. Lasiecka} [ibid. 24, 421-436 (1978; Zbl 0351.49006) and ''Conical approximations of sets with application to optimization problems'', Ph.D. Thesis, Tech. Univ. Warsaw/Poland (1974)], we extend the well-known Dubovicki-Milutin theorem in two directions: (i) we allow for treatment of several equality constraints in optimization problems; and (ii) we assume less regularity of optimization problems by requiring the existence of external cones instead of tangent cones. An example of optimization problem is also considered.
scientific article; zbMATH DE number 3962584