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On necessary optimality conditions in vector optimization problems

Necessary conditions of the multiplier rule type for vector optimization problems in Banach spaces are proved by using separation theorems and Ljusternik's theorem. The Pontryagin maximum principle for multiobjective control problems with state constraints is derived from these general conditions. The paper extends to vector optimization results established in the scalar case by Ioffe and Tihomirov. © 1988 Plenum Publishing Corporation.


 Khanh P.Q., Nuong T.H.
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  Từ khóa : Control Systems, Optimal - Theory; Mathematical Techniques - Vectors; Locally Convex Problems; Necessary Optimality Conditions; Pareto Optimality; Pontryagin Maximum Principle; Slater Optimality; Vector Optimization Problems; Optimization