共查询到18条相似文献,搜索用时 46 毫秒
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王海军张秀利 《数学的实践与认识》2021,(9):171-176
考虑一类非光滑半无限多目标优化问题.利用Clarke次微分和广义的Guignard约束规则,得到非光滑半无限多目标问题有效解的强KKT必要条件.进一步,在η-拟不变凸和(严格)η-伪不变凸条件下得到问题(弱)有效解的充分条件. 相似文献
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本文研究了含有向量参数的非光滑优化问题的极值函数或叫做边缘函数的连续性及某种意义下的微分性质。给出了目标函数及不等式约束为李普希兹函数,等式约束为连续可微函数,并且带有闭凸约束集C的非凸非光滑问题的最优值函数的几种方向导数的界,把[4],[1]中关于一个参数的单边扰动推广到向量参数的扰动,亦可认为是把[2]由光滑函数类推广到李普希兹函数类。 相似文献
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本文对于Banach空间中分布参数系统讨论非光滑指标奇异最优控制问题,利用Moors-Penrose广义逆与Clarke广义梯度证得奇异最优控制的存在性,并给出广义一阶必要条件,推广了Lions[3]的相应结果. 相似文献
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本文提出了一个易实施的处理一类无约束复合非光滑优化的信赖域算法,并在一定条件下证明了该算法所产生的迭代序列的任何聚点都是原问题的稳定点. 相似文献
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本文证明了:对于具无限个不等式与不等式约束的向量最优化问题,在一定条件下,用Clarke次微分表达的某种Fritz-John型定理成立。 相似文献
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本文研究了Banach空间E中的高阶周期边值问题正解的存在性.利用非紧性测度的估计技巧与凝聚映射的不动点指数理论,获得了该问题正解的存在性结果,推广了某些已有的相应结果. 相似文献
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Banach 空间中奇异积分-微分方程边值问题多解的存在性 总被引:2,自引:0,他引:2
通过建立一个特殊的锥,运用锥拉伸与锥压缩不动点定理,获得了Banach空间中一类非线性混合型奇异积分-微分方程边值问题多解的存在性. 相似文献
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丁协平 《数学物理学报(B辑英文版)》2012,(4):1571-1583
A new class of bilevel generalized mixed equilibrium problems involving setvalued mappings is introduced and studied in a real Banach space. By using the auxiliary principle technique, new iterative algorithms for solving the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems involving set-valued mappings are suggested and analyzed. Existence of solutions and strong convergence of the iterative sequences generated by the algorithms are proved under quite mild conditions. The behavior of the solution set of the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems is also discussed. These results are new and generalize some recent results in this field. 相似文献
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GUO Dajun 《数学年刊B辑(英文版)》1999,20(4):435-446
51.IntroductionIn[1,Section3.3])wehavediscussedtheinitialvalueproblem(IVP)forfirstorderintegrthdtherentialequationsofVolterratroeoninfiniteintervalJ=[O,oo)inarealBanachspaceEbymeansoffixedpoillttheory.Now,inthispaper,weshallinvestigatetheIVPforn-thordersuchequationsbymeansofcompletelydtherentmethod,thatis,byestablishingacomparisonresultandusingthemonotoneiterativetecdrique.ConsidertheIVPforn-thordernonlinearilltegrthdifferelitialequationofVolterratypeinE:whereJ=[O,oo),uiEE(i=O,1,'jn… 相似文献
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INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 总被引:13,自引:0,他引:13
Guo Dajun 《数学年刊B辑(英文版)》1997,18(4):439-448
INITIALVALUEPROBLEMSFORSECONDORDERIMPULSIVEINTEGRO┐DIFFERENTIALEQUATIONSINBANACHSPACES**GUODAJUN*AbstractManuscriptreceivedJu... 相似文献
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In this paper,we introduce two new iterative algorithms for finding a common element of the set of solutions of a general equilibrium problem and the set of solutions of the variational inequality for an inverse-strongly monotone operator and the set of common fixed points of two infinite families of relatively nonexpansive mappings or the set of common fixed points of an infinite family of relatively quasi-nonexpansive mappings in Banach spaces.Then we study the weak convergence of the two iterative sequences.Our results improve and extend the results announced by many others. 相似文献