Derived Sets in Multiobjective Optimization
Copyright policy )Derived Sets in Multiobjective Optimization
In the present paper the theory of derived sets established by M. R. Hestenes and J. W. Nieuwenhuis for optimization problems with a real-valued objective function and a finite number of constraints is extended to multiobjective optimization problems. The main result asserts that local solutions of weak multiobjective optimization problems satisfy a multiplier rule.
necessary optimality conditions, generalization of derived sets, derived convex cones, finite-dimensional multiobjective optimization, Optimality conditions for problems in abstract spaces, multiplier rule, Multi-objective and goal programming
necessary optimality conditions, generalization of derived sets, derived convex cones, finite-dimensional multiobjective optimization, Optimality conditions for problems in abstract spaces, multiplier rule, Multi-objective and goal programming
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