关于变分包含问题和不动点问题的一些结果及应用

郝彦

doi:10.3879/j.issn.1000-0887.2009.12.010

关于变分包含问题和不动点问题的一些结果及应用

doi: 10.3879/j.issn.1000-0887.2009.12.010

郝彦^1,2

1.
浙江海洋学院数理与信息学院,浙江舟山 316004;2.浙江师范大学数理与信息工程学院,浙江金华 321004

基金项目: 国家自然科学基金资助项目(10901140)

详细信息

作者简介:
郝彦(1965- ),女,黑龙江齐齐哈尔人,副教授(E-mail:zjhaoyan@yahoo.cn).

中图分类号: O177.5
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- 被引次数: 0
出版历程
- 收稿日期: 2009-05-31
- 修回日期: 2009-10-01
- 刊出日期: 2009-12-15

Some Results on Variational Inclusion Problems and Fixed Point Problems With Applications

HAO Yan^1,2

1.
School of Mathematics Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang 316004, P. R. China;

摘要

摘要: 基于一个广义迭代算法,考虑了逼近一类拟变分包含问题解集与一族无限多个非扩张映象公共不动点集的某一公共元问题．在实Hilbert空间的框架下,证明了由次广义迭代算法产生的迭代序列强收敛到某一公共元．
- 变分不等式 /
- 不动点 /
- 非扩张映象 /
- 拟变分包含问题
Abstract: Based on a general iterative algorithm,the problem of approximating a common element in the solution set of quasi-variational inclusion problems and in the common fixed point set of an infinite family of nonexpansive mappings was considered.It is proved that the iterative sequences generated in the purposed iterative algorithm converges strongly to some common element in the framework of real Hilbert spaces.
- variational inequality /
- fixed point /
- nonexpansive mapping /
- quasi-variational inclusion

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参考文献(10)

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