文献类型：期刊文献

英文题名：INERTIAL ITERATIVE ALGORITHM WITH SELF-ADPTIVE STEP SIZES FOR SPLIT NULL POINT PROBLEMS AND COMMON FIXED POINT PROBLEMS

作者：Feng, Yuting[1];Wang, Yaqin[1]

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

年份：2025

卷号：2025

外文期刊名：JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS

收录：ESCI(收录号：WOS:001429354300001)、EI(收录号：20251218076649)、Scopus(收录号：2-s2.0-105000249642)、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：Demicontractive mapping; Inertial algorithm; Priori estimate; Split null point; Strict pseudocontractive mapping

外文摘要：In this paper, we introduce a self-adaptive inertial iterative algorithm for solving a split null point problem with maximal monotone operators and a common fixed point problem of a finite family of multivaluted demicontractive mappings and an infinite family of strict pseudo-contractive mappings between a Banach space and a Hilbert space. Next, we prove a strong convergence result for the proposed algorithm under some mild conditions on the control parameters without a priori estimate of the norm of the linear operator involved. Then, we give a numerical example to illustrate the effectiveness of the algorithm.