| 1. | The topological convergence of the cone weak subdifferential of set - valued mapping sequence 集值映射序列的锥弱次微分的拓朴收敛性 |
| 2. | The cone - subdifferential of efficient solutions set for vector optimizations problem with perturbed order 锥扰动向量最优化问题有效解的锥次微分 |
| 3. | The cone super subdifferential stability of super efficiency points set of multiobjective programming with perturbation 扰动多目标规划超有效点集的锥超次微分稳定性 |
| 4. | Firstly , based on the s - subdifferential theory and strong duality of semidefinite programming , we propose one method to solve semidefinite programming 首先,本文提出一种求解半定规划的占-次微分向量丛方法。 |
| 5. | By means of the concept of - subdifferential , this paper employs a new method and constructs resolvent formula of - subdifferential operators 本文用一种新颖的方法,借助于-次微分的概念,构造-次微分算子的预解式来逼近问题的解。 |
| 6. | Using techniques of resolvent formula of - subdifferential operators and auxiliary principle , we presented the existence and uniqueness of the solution of a class of variational inequalities 运用-次微分算子的预解式技术和辅助原理技术给出了?类似变分不等式问题解的存在性和唯一性。 |
| 7. | Chapter 2 established derivatives of a class of set - valued maps and differentials of subdifferential maps of convex functions in the sense of tyurin ( 1965 ) and banks & jacobs ( 1970 ) based on theories of convex pairs space 在第2章中,建立了一类基于凸集对空间的理论在tyurin ( 1965 )和banks & jacobs ( 1970 )意义下集值映射的导数的计算公式和凸函数的次微分映射的微分。 |
| 8. | The maximal value point s problem of a convex function on a closed convex subset in locally convex space is considered by using the level set of function , - subdifferential and - normal cone . it gives several equivalent characters on the optimal solutions of the problem 利用函数的水平集, -次微分和-法向锥等工具研究局部凸空间的凸函数在闭凸子集上的最大值点问题,给出了最优解的几个等价刻划 |
| 9. | Based on nonsmooth analysis theory , the viability criterion is verified under the condition that the set - valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points 当右端集值映射为多面体,边界为次可微函数,且次微分为有限点集凸包时,基于非光滑分析理论,给出了在一点处检验生存性条件是否成立的方法。 |
| 10. | In 2000 . lee and ding introduced the concepts of - monotonicity and - subdifferential for set - valued mappings and proper functionals , respectively , and lee also presents an open problem : if q : h - 2h is a maximal - monotone set - valued mapping , then under what conditions do we have rge ( i + q ) - h 2000年, lee和ding分别介绍了集值映射的-单调性和真泛函的-次微分两个概念,同时, lee还提出了一个公开问题:如果q h 2 ~ h是一个极大-单调的集值映射,那么rge ( i + q ) = h在什么条件下成立 |