On the theory of abnormal extremal problems with a finite-dimensional image
On the theory of abnormal extremal problems with a finite-dimensional image
The author considers minimization problems in finite-dimensional case with constraints. New first- and second-order informative necessary conditions for a minimum are announced when the Lagrange multiplier rule is fulfilled for an arbitrary goal functional and bears no information. The results obtained generalize well-known ones in this field. The full and detailed proofs are presented later in his paper [\textit{A. V. Arutyunov}, Trans. Am. Math. Soc. 350, No. 11, 4341-4365 (1998; following review)].
- Peoples' Friendship University of Russia Russian Federation
minimization, first- and second-order informative necessary conditions, Optimality conditions for problems in abstract spaces, the Lagrange multiplier rule
minimization, first- and second-order informative necessary conditions, Optimality conditions for problems in abstract spaces, the Lagrange multiplier rule
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