Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces

被引：8

作者：

Chang, Shih-Sen ^{[1
]}

Wu, Ding Ping ^{[2
]}

Wang, Lin ^{[3
]}

Wang, Gang ^{[3
]}

机构：

[1] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[2] Chengdu Univ Informat Technol Chengsu, Sch Appl Math, Chengdu 610103, Sichuan, Peoples R China

[3] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 10期

关键词：

Convex minimization problem; resolvent identity; proximal point algorithm; weak and strong convergence theorem; nonspreading-type multivalued mapping; MONOTONE-OPERATORS; CONVERGENCE;

D O I：

10.22436/jnsa.009.10.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new modified proximal point algorithm involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces is proposed. Under suitable conditions, some weak convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the nonspreading-type multivalued mappings in Hilbert space are proved. The presented results in the paper are new. (C) 2016 All rights reserved.

引用

页码：5561 / 5569

页数：9

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