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(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China;School of Science,Xi'an Polytechnic University,Xi'an 710048,China;Department of Mathematics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China [2]School of Science,Xi'an Polytechnic University,Xi'an 710048,China [3]Department of Mathematics,Hubei Normal University,Huangshi 435002,China

出　　处：《Acta Mathematica Scientia》2022年第5期1765-1778,共14页数学物理学报（B辑英文版）

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

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 space.Moreover,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<(λφ−νF)z,jq(z−z)>≤0,for z∈⋂_(i=1)^(∞)Γ(S_(i)).The results introduced in our work extend to some corresponding theorems.

关 键 词：MKC iterative algorithm strict pseudo-contraction β-Lipschitzian d-strongly monotone Banach spaces 

分 类 号：O177.2[理学—数学]