| 实$q$-一致光滑Banach空间中一类新的涉及广义 增生映射的集值变分包含组的近似可解性 |
| |
| 引用本文： | 高大鹏,冯世强.实$q$-一致光滑Banach空间中一类新的涉及广义 增生映射的集值变分包含组的近似可解性[J].数学研究及应用,2014,34(4):446-458. |
| |
| 作者姓名： | 高大鹏 冯世强 |
| |
| 作者单位： | 西华师范大学数学与信息学院, 四川 南充 637009;西华师范大学数学与信息学院, 四川 南充 637009 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11371015), 教育部科学技术重点项目(Grant No.211163), 四川省科技厅青年基金项目(Grant No.2012JQ0032), 西华师范大学校基金项目(Grant Nos.11A028;11A029), 西华师范大学基本科研基金项目(Grant No.13D016), 四川省教育厅自然科学一般项目(Grant No.14ZB0142). |
| |
| 摘 要： | A new system of set-valued variational inclusions involving generalized H(·, ·)-accretive mapping in real q-uniformly smooth Banach spaces is introduced, and then based on the generalized resolvent operator technique associated with H(·, ·)-accretivity, the existence and approximation solvability of solutions using an iterative algorithm is investigated.
|
| 关 键 词： | generalized H(· ·)-accretive mapping system of set-valued variational inclusions resolvent operator method iterative algorithm. |
| 收稿时间： | 2013/6/10 0:00:00 |
| 修稿时间： | 2014/1/14 0:00:00 |
Approximation Solvability of a New System of Set-Valued Variational Inclusions Involving Generalized $H(\cdot,\cdot)$-Accretive Mapping in Real $q$-Uniformly Smooth Banach Spaces |
| |
| Dapeng GAO and Shiqiang FENG.Approximation Solvability of a New System of Set-Valued Variational Inclusions Involving Generalized $H(\cdot,\cdot)$-Accretive Mapping in Real $q$-Uniformly Smooth Banach Spaces[J].Journal of Mathematical Research with Applications,2014,34(4):446-458. |
| |
| Authors: | Dapeng GAO and Shiqiang FENG |
| |
| Institution: | School of Mathematics and Information, China West Normal University, Sichuan 637002, P. R. China;School of Mathematics and Information, China West Normal University, Sichuan 637002, P. R. China |
| |
| Abstract: | A new system of set-valued variational inclusions involving generalized $H(\cdot,\cdot)$-accretive mapping in real $q$-uniformly smooth Banach spaces is introduced, and then based on the generalized resolvent operator technique associated with $H(\cdot,\cdot)$-accretivity, the existence and approximation solvability of solutions using an iterative algorithm is investigated. |
| |
| Keywords: | generalized $H(\cdot \cdot)$-accretive mapping system of set-valued variational inclusions resolvent operator method iterative algorithm |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
