Banach空间中的多值拟变分包含

张石生

Banach空间中的多值拟变分包含

张石生^1,2

宜宾学院数学系,四川宜宾 644007;2.四川大学数学系,成都 610064

详细信息

作者简介:
张石生(1934- ),男,云南人,教授,博士生导师(Tel:+86-28-85415930;E-mail:sazhang_1@yahoo.com.cn).

中图分类号: O177.91
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出版历程
- 收稿日期: 2002-07-04
- 修回日期: 2003-12-30
- 刊出日期: 2004-06-15

Multi-Valued Quasi Variational Inclusions in Banach Spaces

ZHANG Shi-sheng^1,2

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

摘要

摘要: 引入和研究了Banach空间中的多值拟变分包含问题．借助预解算子技巧，建立了某些解的存在性定理及解的迭代逼近．文中所给出的结果改进和推广了许多人的最新结果．
- 多值拟变分包含 /
- 变分不等式 /
- 算法 /
- 预解算子 /
- m-增生映象 /
- 增生映象
Abstract: The purpose is to introduce and study a class of more general multivalued quasi variational inclusions in Banach spaces. By using the resolvent operator technique some existence theorem of solutions and iterative approximation for solving this kind of multivalued quasi variational inclusions are established. The results generalize, improve and unify a number of Noor's and others' recent results.
- multivalued quasi variational inclusion /
- variational inequality /
- algorithm /
- resolvent equation /
- m-accretive mapping /
- accretive mapping

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参考文献(14)

[1]	Noor M A.Set-valued quasi variational inequalities[J].K J Comput Appl Math,2000,7:101—113.
[2]	Noor M A.Three-step approximation schemes for multivalued quasi variational inclusions[J].Nonlinear Funct Anal Appl,2001,6(3):383—394.
[3]	Noor M A.Two-step approximation schemes for multivalued quasi variational inclusions[J].Nonlinear Funct Anal Appl,2002,7(1):1—14.
[4]	Noor M A.Multivalued quasi variational inclusions and implicit resolvent equations[J].Nonlinear Anal TMA,2002,48(2):159—174. doi: 10.1016/S0362-546X(00)00177-2
[5]	Chang S S,Cho Y J,Lee B S,et al.Generalized set-valued variational inclusions in Banach spaces[J].J Math Anal Appl,2000,246:409—422. doi: 10.1006/jmaa.2000.6795
[6]	Chang S S.Set-valued variational inclusions in Banach spaces[J].J Math Anal Appl,2000,248:438—454. doi: 10.1006/jmaa.2000.6919
[7]	Chang S S,Kim J K,Kim K H.On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces[J].J Math Anal Appl,2002,268:89—108. doi: 10.1006/jmaa.2001.7800
[8]	Barbu V.Nonlinear Semigroups and Differential Equations in Banach Spaces[M].Leyden:Noordhaff,1979.
[9]	Noor M A. Generalized set-valued variational inclusions and resolvent equations[J]. J Math Anal Appl,1998,228:206—220. doi: 10.1006/jmaa.1998.6127
[10]	Chang S S.Some problems and results in the study of nonlinear analysis[J].Nonlinear Anal TMA,1997,30:4197—4208. doi: 10.1016/S0362-546X(97)00388-X
[11]	Nadler S B.Multi-valued contraction mappings[J].Pacific J Math,1969,30:475—488.
[12]	Noor M A.Some algorithms for general monotone mixed variational inequalities[J].Math Computer Modelling,1999,29(7):1—7.
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[14]	Zeng L U.Iterative algorithm for finding approximate solutions to completely generalized strongly nonlinear quasi-variational inequality[J].J Math Anal Appl,1996,201:180—191. doi: 10.1006/jmaa.1996.0249

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文章访问数: 2428
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Banach空间中的多值拟变分包含

作者简介:
张石生(1934- ),男,云南人,教授,博士生导师(Tel:+86-28-85415930;E-mail:sazhang_1@yahoo.com.cn).

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Multi-Valued Quasi Variational Inclusions in Banach Spaces

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Banach空间中的多值拟变分包含

作者简介: 张石生(1934- ),男,云南人,教授,博士生导师(Tel:+86-28-85415930;E-mail:sazhang_1@yahoo.com.cn).

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出版历程

Multi-Valued Quasi Variational Inclusions in Banach Spaces

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出版历程

目录

作者简介:
张石生(1934- ),男,云南人,教授,博士生导师(Tel:+86-28-85415930;E-mail:sazhang_1@yahoo.com.cn).