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文献详情 >ON THE CONVERGENCE OF INEXACT ... 收藏

ON THE CONVERGENCE OF INEXACT PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS

对不精确邻近点算法哈达玛流形的收敛

作     者:Ahmadi, P. Khatibzadeh, H. 

作者机构:Univ Zanjan Dept Math Zanjan Iran 

出 版 物:《TAIWANESE JOURNAL OF MATHEMATICS》 (Taiwanese J. Math.)

年 卷 期:2014年第18卷第2期

页      面:419-433页

核心收录:

主  题:Proximal point algorithm Maximal monotone operator Resolvent Subdifferential Convergence Hadamard manifold 

摘      要:In this paper we consider the proximal point algorithm to approximate a singularity of a multivalued monotone vector field on a Hadamard manifold. We study the convergence of the sequence generated by an inexact form of the algorithm. Our results extend the results of [3, 25] to Hadamard manifolds as well as the main result of [11] with more general assumptions on the control sequence. We also give some application to optimization.

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