共查询到19条相似文献,搜索用时 515 毫秒
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本文提出并研究了Banach空间中的一类新的广义集值变分包含问题:0∈N(ω,y)+A(z,v),由集值m-增生映射的预解算子建立了广义集值变分包含与不动点问题的等价性,并利用Nadler定理和辅助序列建立了一些迭代算法,证明了解的存在性和算法的全局收敛性. 相似文献
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张从军 《应用泛函分析学报》2004,6(4):310-315
在Hilbert空间中讨论一类广义集值非线性混合变分包含问题近似解的存在性,建立变分包含与广义预解方程的等价性,形成了迭代算法并研究了算法的收敛性. 相似文献
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Banach空间中广义集值变分包含问题的迭代解 总被引:1,自引:0,他引:1
本文研究Banach空间中一类广义集值变分包含问题 ,建立了广义集值变分包含问题的迭代解的一些算法 ,并统一和推广了一些最新文献中的结果 . 相似文献
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研究了Banach空间中一类广义集值拟变分包含问题的灵敏性分析.利用预解算子的技巧,在对给定条件没有假设可微性和单调性下,建立了这类问题与广义预解方程类的等价性. 相似文献
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王元恒 《应用泛函分析学报》2008,10(3):219-227
推广了Banach空间中广义拟变分包含的概念,研究了无限族广义集值拟变分包含的解的存在性及其迭代逼近问题.所得结果改进和推广了一些最新的成果. 相似文献
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广义非线性集值混合拟变分包含的扰动近似点算法 总被引:7,自引:0,他引:7
本文研究一类广义非线性集值混合拟变分包含,概括了尚明生等人引入与研究过的熟知的广义集值变分包含类成特例.运用预解算子的技巧,建立了广义非线性集值混合拟变分包含与不动点问题之间的等价性,其中,预解算子JρA(·,x)是具有常数1/(1+cρ)的Lipschitz连续算子.本文还建立了几个扰动迭代算法,并提供了由算法生成的逼近解的收敛判据,所得算法与结果改进与推广了尚明生等人的相应算法与结果. 相似文献
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一类集值非线性混合变分包含问题的逼近解 总被引:2,自引:0,他引:2
在Hilbert空间中讨论了一类集值非线性混合变分包含问题逼近解的存在性,建立了变分包含问题与其预解方程的等价性,获得了3个迭代算法并研究了算法的收敛性.该结果推广统一了近期一些学者关于变分包含问题的相关结果. 相似文献
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在Banach空间中研究了一类新的变分包含——隐式集值变分包含问题,得到了隐式变分包含解的等价性与存在性命题及其解的扰动算法,推广、改进了国内外近期获得的一些结果. 相似文献
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A class of set-valued variational inclusions in Banach spaces and the convergence of the iterative algorithms are all studied in this paper.Moreover,the convergence and applications of projection algorithm to set-valued variational inclusions in Hilbert are also introduced.Many conclusions are generalized and improved. 相似文献
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Banach空间中一类广义混合非线性隐拟变分包含解的三步迭代 总被引:3,自引:0,他引:3
本文引入并研究了实Banach空间中一类新的广义混合非线性隐拟变分包含 ,通过对实Banach空间中的m 增生映象运用Nadler定理和Michael选择定理 ,构建了这类新的广义变分包含解的三步迭代算法 ,并证明了其解的存在性和由迭代算法生成的迭代序列的收敛性 相似文献
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The purpose of this paper is to introduce and study a class of set-valued variational inclusions in Banach spaces. By using Michael's selection theorem and Nadler's theorem, some existence theorems and iterative algorithms for solving this kind of set-valued variational inclusion in Banach spaces are established and suggested. 相似文献
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Muhammad Aslam Noor 《Journal of Applied Mathematics and Computing》2000,7(1):101-113
In this paper, we introduce and study a new class of variational inclusions, called the set-valued quasi variational inclusions.
The resolvent operator technique is used to establish the equivalence between the set-valued quasi variational inclusions
and the fixed point problem. This equivalence is used to study the existence of a solution and to suggest a number of iterative
algorithms for solving the set-valued variational inclusions. We also study the convergence criteria of these algorithms. 相似文献
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《Optimization》2012,61(2):167-180
This article introduces a new concept of an exceptional family of elements for a generalized set-valued variational inequality in Banach spaces. By using this concept and the degree theory for the generalized set-valued variational inequality introduced by Wang and Huang [Zh.B. Wang and N.J. Huang, Degree theory for a generalized set-valued variational inequality with an application in Banach spaces, J. Glob. Optim. 49 (2011), pp. 343–357], some solvability results for the generalized set-valued variational inequality and its special cases are given in Banach spaces under suitable conditions. 相似文献
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《Applied Mathematics Letters》2006,19(3):273-282
In this work, a new class of set-valued variational inclusions involving -accretive operators in Banach spaces is introduced and studied. And a new iterative algorithm for this class of set-valued variational inclusions and its convergence result are established. 相似文献
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Monotone generalized variational inequalities and generalized complementarity problems 总被引:1,自引:0,他引:1
Some existence results for generalized variational inequalities and generalized complementarity problems involving quasimonotone and pseudomonotone set-valued mappings in reflexive Banach spaces are proved. In particular, some known results for nonlinear variational inequalities and complementarity problems in finite-dimensional and infinite-dimensional Hilbert spaces are generalized to quasimonotone and pseudomonotone set-valued mappings and reflexive Banach spaces. Application to a class of generalized nonlinear complementarity problems studied as mathematical models for mechanical problems is given.The research of the first author was supported by the National Natural Science Foundation of P. R. China and by the Ethel Raybould Fellowship, University of Queensland, St. Lucia, Brisbane, Australia. 相似文献
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首先介绍了Banach空间中的一类含H-增生算子的广义集直变分包含问题(GSVVIP)和广义预解算子方程问题(GREP),并且建立了二者的等价关系.然后分别构造了新的迭代算法来逼近(GSVVIP)的解和(GREP)的解并且证明了其解的存在性以及它们的收敛性结论. 相似文献
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在Banach空间中,引入和研究了新的广义H-η-增生算子,对广义m-增生算子与H-η-单调算子提供了一个统一的框架.还定义了广义H-η-增生算子相应的预解算子,并且证明了其Lipschitz连续性.作为应用,考虑了涉及广义H-η-增生算子的一类变分包含问题的可解性.利用预解算子方法,构造了一个求解变分包含的迭代算法.在适当假设下,证明了变分包含解的存在性和由算法生成的迭代序列的收敛性. 相似文献