ITERATIVE METHODS FOR OBTAINING AN INFINITE FAMILY OF STRICT PSEUDO-CONTRACTIONS IN BANACH SPACES

作     者：Meng WEN Haiyang LI Changsong HU Jigen PENG 文萌;李海洋;胡长松;彭济根

作者机构：School of Mathematics and Information ScienceGuangzhou UniversityGuangzhou 510006China School of ScienceXi'an Polytechnic UniversityXi'an 710048China Department of MathematicsHubei Normal UniversityHuangshi 435002China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第5期

页      面：1765-1778页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(12001416,11771347 and 12031003) the Natural Science Foundations of Shaanxi Province(2021JQ-678) 

主　　题：MKC iterative algorithm strict pseudo-contraction β-Lipschitzian d-strongly monotone Banach spaces 

摘      要：In this paper,we introduce a general hybrid iterative method to find an infinite family of strict pseudo-contractions in a q-uniformly smooth and strictly convex Banach ***,we show that the sequence defined by the iterative method converges strongly to a common element of the set of fixed points,which is the unique solution of the variational inequality≤0,for z∈⋂_(i=1)^(∞)Γ(S_(i)).The results introduced in our work extend to some corresponding theorems.