On necessary optimality conditions in vector optimization problems
Copyright policy )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 Lyusternik'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 Tichomirov.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Institute of Mathematics Viet Nam
- Polish Academy of Learning Poland
- Warsaw University of Technology Poland
Optimality conditions, multiobjective control, Pareto optimality, vector optimization, separation theorems, state constraints, necessary conditions, Banach spaces, Slater optimality, locally convex problems, multiplier rule type, Pontryagin maximum principle, Sensitivity, stability, parametric optimization
Optimality conditions, multiobjective control, Pareto optimality, vector optimization, separation theorems, state constraints, necessary conditions, Banach spaces, Slater optimality, locally convex problems, multiplier rule type, Pontryagin maximum principle, Sensitivity, stability, parametric optimization
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