| 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. |
| 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 |
| DOI：10.3969/J.ISSN.1000-5137.2018.04.002 |
| 分类号:O177.91 |
| 基金项目: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) |
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| General iterative scheme for finding attractive points of (α,β)-mildly hybrid set-valued mappings in Banach spaces |
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Wang Qianwen, Wei Qiuhong, Zeng Liuchuan
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College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| 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. |
| Key words: mildly hybrid set-valued mapping condition I* strongly attractive point attractive point uniformly convex Banach space |
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