Strongly convex setModulus of convexityStrong convexityConvexityHilbert spaceStrongly convex sets in Hilbert spaces are characterized by local properties. One quantity which is used for this purpose is a generalization of the modulus of convexity δΩ of a set Ω. We also show that limε→0δΩ(...
1) w-strongly convex w-强凸 2) W-convex W-凸 3) W-convex set W-凸集 4) W-quasi convexity W-拟凸 5) W quasi convex(concave) W拟凸(凹) 6) W~(2,p) strong solution W~(2p)强解 补充资料:凸凸 1.高出貌。 说明:补充资料仅用于学习参考,请勿用于其它任何用途。
On the Linear Convergence of Descent Methods for Convex Essentially Smooth Minimization Consider the problem of minimizing, over a polyhedral set, the composition of an affine mapping with a strictly convex essentially smooth function. A gener... ZQ Luo,P Tseng - 《Siam Journal on Control & ...
Under the assumption that FF is a strongly convex weakly Kähler Finsler metric on a complex manifold MM, we prove that FF is a weakly complex Berwald metric if and only if FF is a real Landsberg metric. This result together with Zhong (2011) implies that among the strongly convex weakly...
We consider the distance function (DF), given by the caliber (the Minkowski gauge function) of a convex body, from a point to strictly, strongly, and weakly convex sets in an arbitrary Hilbert space. Some properties of the caliber of a strongly convex set and the conditions for obtaining ...
3) weak compact convex set 弱紧凸集4) weakly relatively compact 弱列紧集5) weakly compact sets 弱紧集 1. The new characterization theorems for finite dimensional Banach spaces and weakly compact sets of Banach spaces are given by the existence of farthest points. 用远达点的存在性给出了...
Some New Properties of Strongly Convex Fuzzy Sets In this note, two interesting results about strongly convex fuzzy set are presented under weaker conditions. Moreover, a new property for fuzzy optimizatio... ZY Peng,XJ Long,Z Lin - Springer Berlin Heidelberg 被引量: 5发表: 2009年 The Relat...
1) cone-strongly quasiconvex set-valued map 锥强拟凸集值映射1. In this paper,we introduce the concepts of cone-quasiconvex set-valued map andcone-strongly quasiconvex set-valued map and cone -strongly quasiconvex set. 本文引进了锥拟凸、锥强拟凸集值映射以及锥强拟凸集的概念,并讨论了拓扑...
Finding the worst-case performance of a black-box first-order method is formulated as an optimization problem over a set of smooth (strongly) convex functions and initial conditions. We develop closed-form necessary and sufficient conditions for smooth (strongly) convex interpolation, which provide ...
Smooth strongly convex rolling rigid body 来自 World Scientific 喜欢 0 阅读量: 20 作者:R Cushman,H Duistermaat,J Śniatycki 摘要: The following sections are included:Basic set upUnconstrained motionConstraint distributionConstrained equations of motionVector field on DComputation of H and ϖ in ...