Banach空间中的广义Hη增生算子及其在变分包含中的应用

罗雪萍; 黄南京

doi:10.3879/j.issn.1000-0887.2010.04.009

Banach空间中的广义Hη增生算子及其在变分包含中的应用

doi: 10.3879/j.issn.1000-0887.2010.04.009

四川大学数学学院 ,成都 610064

基金项目: 国家自然科学基金资助项目(10671135);国家自然科学基金重点资助项目(70831005);教育部高等学校博士点基金资助项目(20060610005)

详细信息

作者简介:
罗雪萍(1983- ),女,四川达州人,博士生;黄南京(1962- ),男,江西石城人,教授(联系人.E-mail:nanjinghuang@homtail.com).

中图分类号: O177.91;O177.99
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- 文章访问数: 1565
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- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-02-10
- 刊出日期: 2010-04-15

Generalized H-η-Accretive Operators in Banach Spaces With an Application to Variational Inclusions

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

摘要

摘要: 在Banach空间中，引入和研究了新的广义H-η-增生算子，对广义m-增生算子与H-η-单调算子提供了一个统一的框架．还定义了广义H-η-增生算子相应的预解算子，并且证明了其Lipschitz连续性．作为应用，考虑了涉及广义H-η-增生算子的一类变分包含问题的可解性．利用预解算子方法，构造了一个求解变分包含的迭代算法．在适当假设下，证明了变分包含解的存在性和由算法生成的迭代序列的收敛性．
- 广义Hη增生算子 /
- 预解算子 /
- 变分包含 /
- 迭代算法 /
- 收敛性
Abstract: A new notion of generalizedH-η-accretive operator which provided a unifying framework for the generalizedm-accretive operator and theH-η-mono tone operator in Banach spaces was introduced and studied.A resolvent operator associated with the generalizedH-η-accretive operator was defined and its Lipschitz continuity was shown.As an application,the solvability for a class of variational inclusion sinvolving the generalizedH-η-accretive operators in Banach spaces was considered.By using the technique of resolvent mapping,aniterative algorithm for solving the variational inclusion in Banach space was constructed.Under some suitable conditions,the existence of solution for the variational inclusion and the convergence of iterative sequence generated by the algorithm were proved.
- generalizedH-η-accretive operator /
- resolvent operator /
- variational inclusion /
- iterative algorithm /
- convergence

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参考文献(35)

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Banach空间中的广义Hη增生算子及其在变分包含中的应用

doi: 10.3879/j.issn.1000-0887.2010.04.009

作者简介:
罗雪萍(1983- ),女,四川达州人,博士生;黄南京(1962- ),男,江西石城人,教授(联系人.E-mail:nanjinghuang@homtail.com).

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Generalized H-η-Accretive Operators in Banach Spaces With an Application to Variational Inclusions

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Banach空间中的广义Hη增生算子及其在变分包含中的应用

doi: 10.3879/j.issn.1000-0887.2010.04.009

作者简介: 罗雪萍(1983- ),女,四川达州人,博士生;黄南京(1962- ),男,江西石城人,教授(联系人.E-mail:nanjinghuang@homtail.com).

计量

出版历程

Generalized H-η-Accretive Operators in Banach Spaces With an Application to Variational Inclusions

计量

出版历程

目录

作者简介:
罗雪萍(1983- ),女,四川达州人,博士生;黄南京(1962- ),男,江西石城人,教授(联系人.E-mail:nanjinghuang@homtail.com).