Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

丁协平; 王中宝

Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

四川师范大学数学与软件科学学院,成都 610066

基金项目: 四川省教育厅重点科研基金资助项目(07ZA092SZD0406)

详细信息

作者简介:
丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xiepingding@hotmail.com);王中宝(1982- ),男,绵阳人,硕士.

中图分类号: 225；189.11
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出版历程
- 收稿日期: 2008-08-18
- 修回日期: 2008-12-02
- 刊出日期: 2009-01-15

System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

摘要

摘要: 在没有光滑性的一般Banach空间内引入和研究了涉及H-η-单调算子的集值混合拟似变分包含组(SSMQVLI)．利用与H-η-单调算子相联系的预解算子技巧，建议和分析了一类寻求SSMQVLI的近似解的新的迭代算法．在适当假设下，证明了由算法生成的迭代序列强收敛于SSMQVLI的精确解．这些结果是新的，改进和推广了这一领域的相应结果．
- H-η[KG5]-单调算子 /
- 预解算子技巧 /
- 集值混合拟似变分包含组 /
- 迭代算法 /
- Banach空间
Abstract: A new system of set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-eta-monotone operators is introduced and studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-eta-monotone operators, a new iterative algorithm for finding the approximation solutions of the SSMQVLI was suggested and analyzed. It was also proved that the iterative sequences generated by the algorithm converge strongly to the exact solution of the SSMQVLI under suitable assumptions. These results are new, and extend and improve the corresponding results in this field.
- H-eta-monotone operators /
- resolvent operator technique /
- system of set-valued mixed quasi-variational-like inclusions /
- iterative algorithm /
- Banach spaces

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参考文献(36)

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Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

作者简介:
丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xiepingding@hotmail.com);王中宝(1982- ),男,绵阳人,硕士.

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System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

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目录

留言板

Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

作者简介: 丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xiepingding@hotmail.com);王中宝(1982- ),男,绵阳人,硕士.

计量

出版历程

System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

计量

出版历程

目录

作者简介:
丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xiepingding@hotmail.com);王中宝(1982- ),男,绵阳人,硕士.