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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.
