Banach空间内一类广义混合隐平衡问题组解的存在性和迭代算法

丁协平

doi:10.3879/j.issn.1000-0887.2010.09.001

Banach空间内一类广义混合隐平衡问题组解的存在性和迭代算法

doi: 10.3879/j.issn.1000-0887.2010.09.001

丁协平

四川师范大学数学与软件科学学院,成都 610068

基金项目: 四川省重点学科建设基金资助项目(SZD0406);四川师范大学重点科研基金(09ZDL04)对本文的资助

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作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmailcom).

中图分类号: O177.91;O178;O241.7
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-08-17
- 刊出日期: 2010-09-15

Existence and Algorithm of Solutions for a System of Generalized Mixed Implicit Equilibrium Problems in Banach Spaces

DING Xie-ping

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P. R. China

摘要

摘要: 在Banach空间内引入和研究了一类新的广义混合隐平衡问题组．首先,对广义混合隐平衡问题组引入了Yosida逼近映射概念．利用此概念,考虑了一个广义方程问题组并证明了它与广义混合隐平衡问题组的等价性．其次,应用广义方程问题组,建议和分析了计算广义混合隐平衡问题组的近似解的迭代算法．在相当温和的条件下,证明了由算法生成的迭代序列的强收敛性．这些结果是新的并且统一和推广了这一领域内的某些最近结果．
- 广义混合隐平衡问题组 /
- Yosida逼近映射 /
- 广义方程问题组 /
- 迭代算法 /
- Banach空间
Abstract: A new system of generalized mixed implicity equilibrium problems was introduced and studied in Banach spaces.First,the notion of Yosida proximal mapping for generalized mixed implicity equilibrium problems was introduced.By using the notion,a system of generalized equation problems was considered and its equivalence with the system of generalized mixed implicity equilibrium problems was also proved. Next,by applying the system of generalized equation problems,an iterative algorithm to compute the approximate solutions of the system of generalized mixed implicity equilibrium problems was suggested and analyzed.The strong convergence of the iterative sequences generated by the algorithm was proved under quite mild conditions.The results are new and unify and generalize some recent results in this field.
- system of generalized mixed implicit equilibrium problems /
- Yosida proximal mapping /
- system of generalized equation problems /
- iterative algorithm /
- Banach space

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参考文献(39)

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Banach空间内一类广义混合隐平衡问题组解的存在性和迭代算法

doi: 10.3879/j.issn.1000-0887.2010.09.001

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmailcom).

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Existence and Algorithm of Solutions for a System of Generalized Mixed Implicit Equilibrium Problems in Banach Spaces

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Banach空间内一类广义混合隐平衡问题组解的存在性和迭代算法

doi: 10.3879/j.issn.1000-0887.2010.09.001

作者简介: 丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmailcom).

计量

出版历程

Existence and Algorithm of Solutions for a System of Generalized Mixed Implicit Equilibrium Problems in Banach Spaces

计量

出版历程

目录

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmailcom).