Banach空间中广义集值拟变分包含的灵敏性分析

曾六川; 姚任之

Banach空间中广义集值拟变分包含的灵敏性分析

曾六川¹,
姚任之²

1.
上海师范大学数学系,上海 200234;2.台湾中山大学应用数学系,台湾高雄 804

基金项目: 教育部高等学校优秀青年教师教学和科研奖励基金资助项目(0705);上海市曙光计划资助项目(BL200404);上海市重点学科建设资助项目(T0401)

详细信息

作者简介:
曾六川(1965- ),男,湖南邵东人,教授,博士,博士生导师(联系人.E-mail:zenglc@hotmail.com);姚任之(1959- ),男,湖南邵阳人,教授,博士,博士生导师(E-mail:yaojc@math.nsysu.edu.tw).

中图分类号: O177.91
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- 文章访问数: 2610
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出版历程
- 收稿日期: 2005-04-26
- 修回日期: 2006-10-12
- 刊出日期: 2007-01-15

Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces

ZENG Lu-chuan¹,
YAO Jen-chih²

1.
Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;

摘要

摘要: 研究了Banach空间中一类广义集值拟变分包含问题的灵敏性分析．利用预解算子的技巧，在对给定条件没有假设可微性和单调性下，建立了这类问题与广义预解方程类的等价性．
- 广义集值拟变分包含 /
- 广义预解方程 /
- 灵敏性分析 /
- Lipschitz连续算子 /
- Banach空间
Abstract: The sensitivity analysis for a class of generalized set-valued quasi-variational inclusion problems is investigated in the setting of Banach spaces. Equivalence of these problems to the class of generalized resolvent equations by using the resolvent operator technique without assuming the differentiability and monotonicity of the given data is established.
- generalized set-valued quasi-variational inclusion /
- generalized resolvent equation /
- sensitivity analysis /
- Lipschitz continuous operator /
- Banach space

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参考文献(10)

[1]	Jung J S, Morales C H. The Mann process for perturbed m-accretive operators in Banach spaces[J].Nonlinear Analysis,2001,46(2):231-243. doi: 10.1016/S0362-546X(00)00115-2
[2]	Chang S S. Fuzzy quasivariational inclusions in Banach spaces[J].Applied Mathematics and Computation,2003,145(2/3):805-819. doi: 10.1016/S0096-3003(03)00276-5
[3]	Chang S S, Cho Y J,Lee B S,et al.Generalized set-valued variational inclusions in Banach spaces[J].Journal of Mathematical Analysis and Applications,2000,246(2):409-422. doi: 10.1006/jmaa.2000.6795
[4]	Hassouni A, Moudafi A.A perturbed algorithm for variational inclusions[J].Journal of Mathematical Analysis and Applications,1994,185(3):706-712. doi: 10.1006/jmaa.1994.1277
[5]	曾六川.广义非线性集值混合拟变分包含的扰动近似点算法[J].数学学报，2004,47(1):11-18.
[6]	Liu L W,Li Y Q.On generalized set-valued variational in clusions[J].Journal of Mathematical Analysis and Applications,2001,261(1):231-240. doi: 10.1006/jmaa.2001.7493
[7]	Salahuddin. Parametric generalized set-valued variational inclusions and resolvent equations[J].Journal of Mathematical Analysis and Applications,2004,298(1):146-156. doi: 10.1016/j.jmaa.2004.04.037
[8]	Schaible S, YAO Jen-chih,ZENG Lu-chuan.On the convergence analysis of an iterative algorithm for generalized set-valued variational inclusions[J].Journal of Nonlinear and Convex Analysis,2004,5(3):361-368.
[9]	ZENG Lu-chuan. On the convergence analysis of algorithms for generalized set-valued variational inclusions in Banach spaces[J].Journal of System Sciences and Complexity,2004,17(1):64-74.
[10]	Dafermos S. Sensitivity analysis in variational inequalities[J].Mathematics of Operations Research,1988,13:421-434. doi: 10.1287/moor.13.3.421

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Banach空间中广义集值拟变分包含的灵敏性分析

作者简介:
曾六川(1965- ),男,湖南邵东人,教授,博士,博士生导师(联系人.E-mail:zenglc@hotmail.com);姚任之(1959- ),男,湖南邵阳人,教授,博士,博士生导师(E-mail:yaojc@math.nsysu.edu.tw).

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Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces

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Banach空间中广义集值拟变分包含的灵敏性分析

作者简介: 曾六川(1965- ),男,湖南邵东人,教授,博士,博士生导师(联系人.E-mail:zenglc@hotmail.com);姚任之(1959- ),男,湖南邵阳人,教授,博士,博士生导师(E-mail:yaojc@math.nsysu.edu.tw).

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出版历程

Sensitivity Analysis of Generalized Set-Valued Quasi-Variational Inclusion in Banach Spaces

计量

出版历程

目录

作者简介:
曾六川(1965- ),男,湖南邵东人,教授,博士,博士生导师(联系人.E-mail:zenglc@hotmail.com);姚任之(1959- ),男,湖南邵阳人,教授,博士,博士生导师(E-mail:yaojc@math.nsysu.edu.tw).