共查询到19条相似文献,搜索用时 46 毫秒
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本文在非常一般的框架和较弱的条件下证明了一类变分不等式与拟变分不等式解的存在性,将[1-7]的结果作了推广并改进在非紧集上讨论 相似文献
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集值映象的变分不等式 总被引:1,自引:0,他引:1
本文应用KyFan定理和KKM技巧在(局部凸)Hausdorff拓扑向量空间及自反Banach空间上讨论了集值映象的变分不等式解的存在性。所讨论的问题比[6,7,10,11]中讨论的更为广泛。 相似文献
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本文研究一类抽象广义双拟变分不等式和广义拟变分不等式问题,获得了解的存在性定理,改进推广了相关文献的一些主要结果. 相似文献
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A new class of generalized nonlinear implicit variational-like inequality problems (for short, GNIVLIP) in the setting of locally convex topological vector spaces is introduced and studied in this paper. Under suitable conditions, some existence theorems of solutions for (GNIVLIP) are presented by using some fixed point theorems. 相似文献
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本文研究Hilbert空间中线性椭圆变分不等式的扰动问题,得到了扰动问题的解收敛于原问题的解的一个较一般的充分条件,并用它处理边界条件扰动问题和两个具体变分不等式(弹塑性扭转问题和“平均曲率”约束问题)。 相似文献
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对变分不等式的奇异摄动问题进行了探索,证明了解的重合集Iε={x∈Ωuε(x)=φ}在Hausdorff距离意义下收敛到ε=0时解的重合集。 相似文献
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In this paper we investigate generalized bi-quasi-variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence theorems of solutions for generalized bi-quasi-variational inequalities,which are the extension and improvements of the earlier and recent results obtained previously by many authors including Sun and Ding [18],Chang and Zhang [23] and Zhang [24]. 相似文献
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Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings 下载免费PDF全文
Dapeng Gao & Shiqiang Feng 《数学研究通讯:英文版》2014,30(1):90-96
In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and
generalized vector variational-like inequality problems as special cases. We use the
maximal element theorem with an escaping sequence to prove the existence results of
a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space. 相似文献
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Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem 总被引:6,自引:0,他引:6
The concepts of monotone pair of mappings and vector implicit complementarity problem (VICP) in ordered Banach spaces are introduced. Existence theorems for simultaneous vector variational inequalities (VVI) and VICP are proved. 相似文献
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In this paper, we introduce and study a class of generalized vector quasivariational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space. 相似文献
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§1. IntroductionThroughoutthispaper,Φdenoteseithertherealfieldorthecomplexfield.Foranonemp-tysetY,2YwillstandforthefamilyofallnonemptysubsetsofY.LetE,FbevectorspacesoverΦ,〈,〉:F×E→Φbeabilinearfunctional,andXbeanonemptysubsetofE.Givenamul-ti-valuedmapp… 相似文献
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Thispaperiscontinuationsof[1],westilltousemarksandtermsin[1]andtheothertermsagreewith[2]and[3].LetEandFbetwoHausdorfftopologicalvectorspaces,XE,YFbetwononemptysets,FbethedualspaceofF,A:X→2YandB:Y→2Fbetwoset-valuedmapping,T:Y→Xbeinvertible.Inthisp… 相似文献
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In this paper, the concept of a vector semi-monotone operator is introduced. This concept is applied to establish several
existence results of vector variational inequalities. These extend some results of others.
The work is supported by the Natural Science Foundation of China (Grant No. 19671042) and the Doctoral Program Foundation
of the Ministry of Education of China. 相似文献
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对于具有一般非空闭凸集约束的变分不等式问题 ,本文给出了一个新的例外族的定义 .通过倩同伦不变定理 ,我们证明了一个择一定理 ,这给出了所考虑问题解的一个充分性条件 .特别 ,我们建立了变分不等式问题的一个新的存在性定理 ,推广了Zhao的一个最近的存在性结果 ,进而也推广了著名Mor啨关于非线性互补问题的存在性定理 . 相似文献