Higher-order optimality conditions for a minimax
نویسندگان
چکیده
منابع مشابه
Envelopes , Higher - Order Optimality Conditions , and Lie
We describe a generalization to Optimal Control of the theory of envelopes of the classical Calculus of Variations. This generalization extends our previous work, by allowing the use of \quasi-extremal" trajectories, i.e. trajectories that satisfy all the conditions of the Pontryagin Maximum Principle except for the fact that the sign of the constant 0 that appears in the Hamiltonian multiplyin...
متن کاملHigher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions
The notions of higher-order weakly generalized contingent epiderivative and higher-order weakly generalized adjacent epiderivative for set-valued maps are proposed. By virtue of the higher-order weakly generalized contingent adjacent epiderivatives, both necessary and sufficient optimality conditions are obtained for Henig efficient solutions to a set-valued optimization problem whose constrain...
متن کاملOptimality Conditions for Minimax Programming of Analytic Functions
In this paper, we investigate a minimax complex programming problem. Several sufficient Optimality conditions are established under the framework of generalized convexity for analytic functions. Employing the sufficient optimality conditions, we have proved the weak, strong and strict converse duality theorems for the complex minimax programming problem.
متن کاملHigher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
Unfortunately, the incorrect version of [1, Theorem 4.3] was published. The correct version of [1, Theorem 4.3] is given in this paper. By employing the generalized higher-order contingent derivatives of set-valued maps, Wang et al. [1] established a sufficient optimality condition of weakly efficient solutions for (SV P): (SV P) min F(x), s.t. G(x) (−D) = ∅, x ∈ E. Theorem 1 (see [1, Theorem 4...
متن کاملOptimality conditions for the calculus of variations with higher-order delta derivatives
We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-order delta derivatives.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1996
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700021924