Nonsmooth Optimization Techniques on Riemannian Manifolds

被引：0
作者：
S. Hosseini
M. R. Pouryayevali
机构：
[1] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
来源：
Journal of Optimization Theory and Applications | 2013年 / 158卷
关键词：
Ekeland variational principle; Contingent cone; Metric regularity; Generalized gradient; Riemannian manifolds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present the notion of weakly metrically regular functions on manifolds. Then, a sufficient condition for a real valued function defined on a complete Riemannian manifold to be weakly metrically regular is obtained, and two optimization problems on Riemannian manifolds are considered. Moreover, we present a generalization of the Palais–Smale condition for lower semicontinuous functions defined on manifolds. Then, we use this notion to obtain necessary conditions of optimality for a general minimization problem on complete Riemannian manifolds.
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页码：328 / 342
页数：14
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