Convergence analysis of inexact proximal point algorithms on Hadamard manifolds
Convergence analysis of inexact proximal point algorithms on Hadamard manifolds
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DOI：
10.1007/s10898-014-0182-2
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发表时间：
2014-04
影响因子：
1.8
通讯作者：
Jinhua Wang;Chong Li;G. López;J. Yao
中科院分区：
文献类型：
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作者：
Jinhua Wang;Chong Li;G. López;J. Yao
将非精确邻近点方法推广到求Hadamard流形上多值向量场的奇点。在较弱的条件下，建立了收敛准则.特别是，在邻近点算法的情况下，即对于每一个，我们的结果都大大改善了Li等人（2009）中的相应结果。最优化问题，变分不等式问题和梯度方法的应用。
Inexact proximal point methods are extended to find singular points for multivalued vector fields on Hadamard manifolds. Convergence criteria are established under some mild conditions. In particular, in the case of proximal point algorithm, that is,for each, our results improve sharply the corresponding results in Li et al. (2009). Applications to optimization problems, variational inequality problems and gradient methods are also given.