纺织高校基础科学学报2017，Vol.30Issue(2)：200-206,7.DOI:10.13338/j.issn.1006-8341.2017.02.007
渐近伪压缩半群公共不动点的强收敛结果
Strong convergence results on the common fixed points of asymptotically pseudocontractive semigroups
摘要
Abstract
In order to study the strong convergence of asymptotically pseudocontractive semigroups in a real Banach space,a viscosity iteration algorithm for approximating the common fixed point of asymptotically pseudocontractive semigroups is proposed, and it is proved that the common fixed point is also unique solution to a variational inequality.The results mainly extend the results of Ref.[8] from the Halpern iteration algorithm to viscosity iteration algorithm, and also extend the results of Ref.[9] from nonexpansive semigroups to asymptotically pseudocontractive semigroups.关键词
不动点/伪压缩半群/强收敛/Banach空间Key words
fixed points/pseudocontractive semigroups/strong convergence/Banach space分类
数理科学引用本文复制引用
范钦伟,惠震,贺慧敏..渐近伪压缩半群公共不动点的强收敛结果[J].纺织高校基础科学学报,2017,30(2):200-206,7.基金项目
This work was supported by Natural Science Basic Research Plan in Shaanxi Province of China(2016JQ1022) （2016JQ1022）
Special Science Research Plan of the Education Bureau of Shaanxi Province of China(16JK1341) （16JK1341）
Doctoral Scientific Research Foundation of Xi′an Polytechnic University(BS1432) （BS1432）
National Science Foundation of China(11501431) （11501431）
