| 集值变分不等式解的存在性问题 |
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| 引用本文： | 刘智,何诣然.集值变分不等式解的存在性问题[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 刘智 何诣然 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金，四川青年科学技术基金 |
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| 摘 要： | 为研究Banach空间中的集值变分不等式问题,提出了一个新的例外簇概念,并利用零调集值映射的一个Leray-Schauder型不动点定理,证明了变分不等式或有解,或集值映射J(x)-F(x)]:K→2B*有一例外簇,同时给出了集值映射J(x)-F(x)]无例外簇的条件.
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| 关 键 词： | 变分不等式 例外簇 不动点 零调集值映射 |
An Existence of Solution to Set-valued Variational Inequalities |
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| LIU Zhi,HE Yi-ran.An Existence of Solution to Set-valued Variational Inequalities[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | LIU Zhi HE Yi-ran |
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| Institution: | LIU Zhi,HE Yi-ran(College of Mathematics , Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In order to study the existence problem of solution to variational inequalities in Banach space,a new exceptional family is introduced.It is proved by using Leray-Schaude type fixed-point theorem of acyclic set-valued mapping that the variational inequality has at least one solution,or the mapping of J(x)-F(x)]:K→2~(B*) has an exceptional family.The conditions of this set-valued variational inequality without exceptional family are given. |
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| Keywords: | variational inequality exceptional family fixed-point acyclic set-valued mapping |
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