Banach空间中寻求(α,β)-适度混合集值映像吸引点的一般迭代格式（英文）  

General iterative scheme for finding attractive points of (α,β)-mildly hybrid set-valued mappings in Banach spaces

作　　者：王倩文 魏秋红 曾六川[1] Wang Qianwen;Wei Qiuhong;Zeng Liuchuan(College of Mathematics and Science,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2018年第4期397-405,共9页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The Innovation Program of Shanghai Municipal Education Commission(15ZZ068);Ph.D.Program Foundation of Ministry of Education of China(20123127110002);Program for Outstanding Academic Leaders in Shanghai City(15XD1503100)

摘　　要：引入(α,β)-适度混合集值映像与条件I~*的概念,提出了用于寻求(α,β)-适度混合集值映像吸引点的一般迭代法.在一致凸Banach空间中,利用条件I~*与半紧性质,建立了所提(α,β)-适度混合集值映像的迭代格式的强收敛性.结论改进与修正了之前文献中已发布的相应结果.In this paper,we first introduce the concepts of（ α,β）-mildly hybrid set-valued mappings and condition I~＊,and then propose a general iterative method for finding attractive points of（ α,β）-mildly hybrid set-valued mappings. Moreover,we establish strong convergence of the proposed iterative scheme for（ α,β）-mildly hybrid set-valued mappings in a uniformly convex Banach space by using condition I~＊and demi-compact property. Our results improve and modify the corresponding ones announced by other authors in the literature.

关 键 词：适度混合集值映像 条件I^＊ 强吸引点 吸引点 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]