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非扩张映象和逆-强单调映象关于扰动集合的稳定性 被引量:2
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作者 徐卫 王元恒 张涛 《浙江师范大学学报(自然科学版)》 CAS 2007年第4期399-405,共7页
在H ilbert空间中研究迭代序列逼近非扩张自映象S:Ω|→Ω的不动点和逆-强单调算子T:Ω|→H的变分不等式解.当闭凸紧集Ω、非扩张映象S、逆-强单调算子T、度量投影算子PΩ的扰动满足适当的条件时,扰动迭代序列的强收敛性仍然成立.所得... 在H ilbert空间中研究迭代序列逼近非扩张自映象S:Ω|→Ω的不动点和逆-强单调算子T:Ω|→H的变分不等式解.当闭凸紧集Ω、非扩张映象S、逆-强单调算子T、度量投影算子PΩ的扰动满足适当的条件时,扰动迭代序列的强收敛性仍然成立.所得结果推广了近期一些相应的结果. 展开更多
关键词 不动点 变分不等式的解 度量投影 HAUSDORFF距离 扰动迭代序列
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Inverse Coefficient Problems for Elliptic Hemivariational Inequalities
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作者 Cui'e XIAO Zhenhai LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第4期473-480,共8页
This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic hemivariational inequalities. The unknown coefficient of elliptic hemivariational inequalities depends on the gradient of the sol... This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic hemivariational inequalities. The unknown coefficient of elliptic hemivariational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic hemivariational inequalities are uniquely solvable for the given class of coefficients. The result of existence of quasisolutions of the inverse problems is obtained. 展开更多
关键词 Elliptic hemivariational inequality Inverse coefficient problem Existence of quasisolution
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