Inexact Proximal Point Methods for Quasiconvex Minimization on Hadamard Manifolds  

作　　者：Nancy Baygorrea Erik Alex Papa Quiroz Nelson Maculan 

机构地区：[1]Federal University of Rio de Janeiro,PESC-COPPE-UFRJ,PO Box 68511,Rio de Janeiro CEP 21941-972,Brazil

出　　处：《Journal of the Operations Research Society of China》2016年第4期397-424,共28页中国运筹学会会刊（英文）

摘　　要：In this paper we present two inexact proximal point algorithms to solve minimization problems for quasiconvex objective functions on Hadamard manifolds.We prove that under natural assumptions the sequence generated by the algorithms are well defined and converge to critical points of the problem.We also present an application of the method to demand theory in economy.

关 键 词：Proximal point method Quasiconvex function Hadamard manifolds Nonsmooth optimization Abstract subdifferential 

分 类 号：O17[理学—数学]