At the same time,the weak duality theorems and strong duality theorems are proved for the three types of duality respectively based on the(F,α,ρ,θ)-b-convexity.
本文给出了一类新的广义凸函数-(F,α,ρ,θ)-b-凸函数,讨论了多目标分式规划(MFP)的三种对偶模型:Mond-Weir型对偶、Lagrange型对偶、Schaible型对偶,并基于(F,α,ρ,θ)-b-凸性证明了各自相应的弱、强对偶定理。
In this paper, author gives a definition of ((F,ρ), invariant convex function, and discuses the duality theorems of the multiobjective programming.
本文给出了(F,ρ)-不变凸函数的定义,并讨论证明了在此定义下其多目标规划的对偶定理。
Moreover, a parametric duality model and a semiparametric duality model are constructed and appropriate duality theorems are proved.
对该类多目标分式规划问题,引入了(F,α,ρ,d)-V-凸函数的概念,证明了有效解的充分条件和必要条件,构造出了一种参数对偶模型和一种半参数对偶模型,并证明了相应的对偶定理。
A general form of a class of duality theorems was yielded.
研究右序对偶半序线性空间中两个不同的Ｍａｃｋｅｙ邻域的对偶，给出一类对偶定理的一般形式，削弱了关于序凸与可分解，绝对序凸与绝对控及正序凸与正控的对偶定理的某些条件并简化了其证明。
Then we use the thought of the Lagrange duality progrmming for the solution-type linear bilevel programming and prove the basic duality theorems.
讨论了解型线性双层规划的对偶规划问题,利用Lagrange对偶规划的思想,建立了解型线性双层规划的Lagrange对偶规划,并证明了基本对偶定理。
Appropriate duality theorems are proved.
给出了一类非线性分式规划问题的参数形式和非参数形式的最优性条件,在此基础上,构造出了一个参数对偶模型和一个非参数对偶模型,并分别证明了其相应的对偶定理,这些结果是建立在次线性函数和广义凸函数的基础上的。
The present paper deals with dual theorem, functinal calculus, restriction and quotient operators; In particular, for Hilbert spaces, or L-spaces, it is proved that a n-tuple of commuting operators is spectral iff the operators in the n-tuple of commuting operators are spectral operators.
本文讨论Banach空间上谱型交换算子组的对偶定理、函数演算、限制和商。
Galois Covers, Smash Products and the Duality Theorem over the Semigroup Graded Category;
半群分次范畴Galois盖，Smash积与对偶定理
The Duality Theorem for a Class of Multiobjective Lipschitzian Programming;
一类多目标Lipschitz规划的对偶定理
Generalization of Pappus Theorem and Duality Theorem in Space;
Pappus定理及其对偶定理在空间中的一种推广
Lagrange Duality Theorem for Multiobjective Programming with Set Functions
集合函数多目标规划的拉格朗日型对偶定理
Duality Theorem and Cross Product Hopf Algebras in Braided Tensor Categories;
辫子张量范畴中的对偶定理和交叉积Hopf代数
Duality theorems of multiobjective programming (VP) and (VD) for ρ-arcwise quasiconvex and pseudoconvex functions
ρ-弧式拟凸及伪凸函数的(VP)和(VD)对偶定理
Deducing the Theorems of 3-Dimension Projective by Applying the Principle of Duality;
应用对偶原理导出三维射影几何定理
Theorems of Duality and Characterization of Some Spaces on HEISENBERG Group;
HEISENBERG群上某些空间的对偶性及刻画定理
Perturbation of Frames, Sampling Theorems and Duality of Frames;
框架的扰动、采样定理和框架的对偶
The Duality and Generalization of Arranging Sequence Theorem and Chebyshev Inequality;
排序定理和Chebyshev不等式的对偶及其推广
THE GENERALIZATION OF MORITA DUALITY AND TILTING THEOREM OVER π-COHERENT RINGS;
π-凝聚环上的广义Morita对偶及Tilting定理
Stable Lagrangian Duality
稳定的Lagrangian对偶性
SO(2) Duality Theory of Electric Dipole and Magnetic Dipole Radiation;
电偶极和磁偶极辐射的SO(2)对偶理论
Weak duality theorem is established under generalized convexity conditions.
在广义凸性条件下,建立了弱对偶性定理。
Duality Theorems of a Kind of Extremum in Topological Vector Spaces
线性拓扑空间中一类极值的对偶性定理
The Extension of Three-Solution Therom and the Duality of Generalized Orlicz Space;
三解定理的推广以及广义Orlicz空间的对偶性
The regularization of dual complete convolution equation in null class and Noether theorem;
{0}类中对偶型完全卷积方程的正则化及Noether定理
Wakamatsu Tilting Modules and Dual Theory;
Wakamatsu倾斜模和对偶理论