文献类型：期刊文献

英文题名：A NEW INERTIAL ITERATIVE ALGORITHM FOR SPLIT NULL POINT AND COMMON FIXED POINT PROBLEMS

作者：Zhang, Yuanqin[1];Wang, Yaqin[1]

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

年份：2023

卷号：2023

外文期刊名：JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS

收录：EI(收录号：20241115723049)、ESCI(收录号：WOS:001114318700004)、Scopus(收录号：2-s2.0-85187236097)、WOS

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

语种：英文

外文关键词：. Common fixed point; Multivalued demicontractive mapping; Split null point; Self-adaptive step size; Strong convergence

外文摘要：In this paper, we present a new iterative scheme with a self-adaptive step size for finding a common solution of the split null point and common fixed point problem for an infinite family of multivalued demicontractive mappings between a Banach space and a Hilbert space. We demonstrate strong convergence result with a self-adaptive step size without a priori estimate of the norm of the linear operator under some suitable conditions. A numerical result is also presented to support our main results.