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111.
Equi-attraction properties of the global attractors
of a family of set-valued dynamical systems {Gλ, λ∈Λ} with respect to a parameter λ∈Λ, where Λ is a compact metric space, are investigated. In particular, under appropriate
conditions, it is shown that the equi-attraction of the family
is equivalent to the continuity of
in λ with respect to the Hausdorff distance. An example involving differential inclusions is given.
Mathematics Subject Classifications (2000) Primary 47H17, 58F03, 34C20.
Desheng Li: Supported by NNSF of China (10251002) and NNSF of Gansu province (3ZS041-A25-006). 相似文献
112.
本文利用极大元定理在非紧拓扑空间设置下证明了没有单调性的广义向量拟似变分不等式解的存在性定理. 相似文献
113.
P. H. Naccache 《Journal of Optimization Theory and Applications》1978,25(3):459-467
Sufficient conditions for the set of nondominated outcomes of a multicriteria optimization problem to be connected are given.The author would like to thank Professors G. Leitmann and P. L. Yu for many critical remarks.The contents of this article are taken from the author's doctoral dissertation written at the University of California at Berkeley under the supervision of Professor G. Leitmann. 相似文献
114.
The paper presents a closure theorem for the attainable trajectories of a class of control systems governed by a large class of nonlinear evolution equations in reflexive Banach spaces. Several existence theorems for optimal controls are proven that include a terminal control problem, a time-optimal control problem, and a special Bolza problem. Some results of independent interest are also presented.This work was supported in part by the National Research Council of Canada under Grant No. 7109.The authors would like to thank Professor L. Cesari for pointing out that joint continuity off is required for the setsG andR to satisfy the upper semicontinuity property (Theorems 5.1 and 5.2). 相似文献
115.
T. H. Sweetser III 《Journal of Optimization Theory and Applications》1977,23(4):549-562
A set-valued derivative for a function at a point is a set of linear transformations whichapproximates the function near the point. This is stated precisely, and it is shown that, in general, there is not a unique minimal set-valued derivative for functions in the family of closed convex sets of linear transformations. For Lipschitz functions, a construction is given for a specific set-valued derivative, which reduces to the usual derivative when the function is strongly differentiable, and which is shown to be the unique minimal set-valued derivative within a certain subfamily of the family of closed convex sets of linear transformations. It is shown that this constructed set may be larger than Clarke's and Pourciau's set-valued derivatives, but that no irregularity is introduced.The author would like to thank Professor H. Halkin for numerous discussions of the material contained here. 相似文献
116.
Ansari Q. H. Konnov I. V. Yao J. C. 《Journal of Optimization Theory and Applications》2001,110(3):481-492
In this paper, we prove an existence result for a solution to the vector equilibrium problems. Then, we establish variational principles, that is, vector optimization formulations of set-valued maps for vector equilibrium problems. A perturbation function 相似文献
117.
本文研究了集值映射向量优化问题的锥弱有效解的镇定性和稳定性,我们引进了集值映射向量优化问题的镇定性和稳定性的定义,并证明了集值映射向量优化问题的镇定性和稳定性的一些主要定理. 相似文献
118.
集值映射下的向量均衡问题解的存在性 总被引:3,自引:0,他引:3
程永红 《应用泛函分析学报》2001,3(3):285-288
利用广义的截口定理,本讨论集值映射和变序下的向量均衡问题解的存在性。 相似文献
119.
The sensitivity analysis for a class of generalized set-valued quasi-variational inclusion problems is investigated in the setting of Banach spaces. By using the resolvent operator technique, without assuming the differentiability and monotonicity of the given data, equivalence of these problems to the class of generalized resolvent equations is established. 相似文献
120.
局部FC-一致空间内凝聚映象的极大元和广义对策及应用(Ⅰ) 总被引:2,自引:2,他引:0
首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念.在局部FC-一致空间内对涉及凝聚集值映象的集值映象族证明了新的极大元存在性定理.作为应用,在局部FC-一致空间内对涉及凝聚集值映象的广义对策建立了某些新的平衡存在性定理.这些结果改进和推广了文献中的某些已知结果到局部FC-一致空间.对广义矢量拟平衡组的进一步应用,我们将在文(Ⅱ)中给出. 相似文献