文献类型：期刊文献

英文题名：A SELF-ADAPTIVE INERTIAL ALGORITHM FOR SOLVING SPLIT NULL POINT PROBLEMS AND COMMON FIXED POINT PROBLEMS

作者：Chen, Shufen[1]; Wang, Yaqin[1]

机构：[1] Department of Mathematics, Shaoxing University, Shaoxing, 312000, China

年份：2023

卷号：5

期号：1

起止页码：49

外文期刊名：Applied Set-Valued Analysis and Optimization

收录：EI(收录号：20233514627272)、Scopus(收录号：2-s2.0-85168763352)

语种：英文

外文关键词：Mapping

外文摘要：In this paper, we introduce a new self-adaptive inertial algorithm for finding a common solution of a split null point problem and a common fixed point problem of two infinite families of strict pseudo-contractive mappings and multivalued demicontractive mappings. We demonstrate a strong convergence result without a priori estimate of the norm of the linear operator in Hilbert spaces. As applications, we apply our main result to the split feasibility problem and the split minimization problem. Finally, we present a numerical example to show the efficient of the proposed algorithm. ?2023 Applied Set-Valued Analysis and Optimization.