文献类型：期刊文献

英文题名：A VISCOSITY METHOD WITH INERTIAL EFFECTS FOR SPLIT COMMON FIXED POINT PROBLEMS OF DEMICONTRACTIVE MAPPINGS

作者：Xiao, Jingfang[1];Wang, Yaqin[1]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2022

卷号：2022

外文期刊名：JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS

收录：ESCI(收录号：WOS:000987135300014)、EI(收录号：20222812351658)、Scopus(收录号：2-s2.0-85133746248)、WOS

基金：Acknowledgements The second author was supported by the National Natural Science Foundation under Grant No. 11975156.

语种：英文

外文关键词：Demicontractive mappings; Fixed point; Inertial effects; Split feasibility problem

外文摘要：In this paper, we first propose a new algorithm for the split common fixed point problems of demicontractive mappings based on viscosity methods and inertial effects in Hilbert spaces. The algorithm is constructed in such a way that its step sizes are not related to the norm of a bounded linear operator. Then, we prove some strong convergence theorems under some suitable conditions. Finally, we provide a numerical example to show the effectiveness of our proposed algorithm. Our results generalize and improve some known results announced recently.