文献类型：期刊文献

英文题名：Viscosity Methods and Split Common Fixed Point Problems for Demicontractive Mappings

作者：Wang, Yaqin[1];Fang, Xiaoli[1];Kim, Tae-Hwa[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Pukyong Natl Univ, Coll Nat Sci, Dept Appl Math, Busan 48513, South Korea

年份：2019

卷号：7

期号：9

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000487953700087)、、Scopus(收录号：2-s2.0-85072342410)、WOS

基金：The work was supported by the Natural Science Fundation of China (No. 11975156, 11671365), and Zhejiang Provincial Natural Science Foundation of China (No. LQ13A010007, LY14A010006).

语种：英文

外文关键词：split common fixed-point problem; strong convergence; demicontractive mapping; viscosity method

外文摘要：We, first, propose a new method for solving split common fixed point problems for demicontractive mappings in Hilbert spaces, and then establish the strong convergence of such an algorithm, which extends the Halpern type algorithm studied by Wang and Xu to a viscosity iteration. Above all, the step sizes in this algorithm are chosen without a priori knowledge of the operator norms.