Duality Theorem for Optimization Problems with Parameters and Its Application to Problem Control
Jia Ji-hong
Abstract
Jia Ji-hong
Abstract
This paper made a study of Wolfe duality for optimization problems with parameters in Banach spaces.In Invex-convexlike hypothesis,weak duality theorem and strong duality theorem for Wolfe duality were obtained.For application,the optimal control theory was also dealt with.
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This paper made a study of Wolfe duality for optimization problems with parameters in Banach spaces.In Invex-convexlike hypothesis,weak duality theorem and strong duality theorem for Wolfe duality were obtained.For application,the optimal control theory was also dealt with.
Key concepts: Duality (order theory), Perturbation function, Fenchel's duality theorem, Mathematics, Strong duality, Wolfe duality, Duality gap, Weak duality