共查询到20条相似文献,搜索用时 140 毫秒
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强向量均衡问题与不动点问题的粘性逼近算法 总被引:2,自引:0,他引:2
讨论了强向量均衡问题与非扩张映射不动点问题的公共解.首先,给出了强向量均衡问题的辅助问题,并在适当的条件下,证明了其解的存在性和唯一性结果.然后,利用这些结果,提出了强向量均衡问题与非扩张映射不动点问题公共解的粘性逼近算法,并进一步证明了,在适当的条件下,由该算法产生的迭代序列强收敛于强向量均衡问题和非扩张映射不动点问题的公共解. 相似文献
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本文的目的是在Hilbert空间中引入和研究了一种新的迭代序列,用以寻求具逆一强单调映象的广义平衡问题的解集与无限簇非扩张映象的不动点集的公共元.在适当的条件下,用黏性逼近法证明了逼近于这一公共元的强收敛定理.应用该结论,我们证明了逼近于平衡问题和变分不等式问题的强收敛定理.所得结果改进和推广了文献的相应结果. 相似文献
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对称的运输问题及其逆问题 总被引:8,自引:0,他引:8
本文对[1,2,6]中提出的运输问题进行了推广,并提出了一个强多项式算法,从而改进了原有的结果.同时对对称的运输问题的逆问题进行了研究,并借助于最小费用循环流技术得到了一个强多项式算法. 相似文献
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Hilbert空间中广义平衡问题和不动点问题的粘滞逼近法 总被引:1,自引:1,他引:0
在Hilbert空间,我们用粘滞逼近法建立了一迭代序列来逼近两个集合的公共点,这两个集合分别是广义平衡问题的解集和渐进非扩张映射的不动点集.我们表明这一迭代序列强收敛到这两个集合的公共点,而且这一公共点还是一变分不等式的解.用这一结果,还研究了三个强收敛问题和优化问题. 相似文献
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本文在Hilbert空间上引入了一个新的粘性迭代算法,找到了关于两个逆强单调算子的变分不等式问题的解集与非扩张映射的不动点集的公共元.通过修改的超梯度算法,得到了强收敛定理,也给出了一个数值例子.所得结果改进了许多最新结果. 相似文献
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一类非线性变分包含问题解的存在性和迭代逼近问题 总被引:1,自引:0,他引:1
郝彦 《数学的实践与认识》2006,36(5):290-294
研究了实自反Banach空间中一类具有L ipsch itz条件的强增生型变分包含解的存在性、唯一性及其具有混合误差项的M ann迭代程序的收敛性问题.另一方面,一个相关结果,讨论了一类强增生型变分不等式解的存在性和带有混合误差项的M ann迭代序列的收敛性.结果改进和推广了张石生,曾六川等人的相应结果. 相似文献
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In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space.Under suitable conditions,some strong convergence theorems are proved.Our results extend and improve some recent results. 相似文献
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席位分配问题的一种新算法 总被引:4,自引:1,他引:3
讨论了席位分配问题的已有方法与H.P.Y oung公理体系中公理4之间的关系.通过数据算例指出已有方法都不能使公理4与极差最小同时满足.据此,我们建立了在满足公理4的前提下的最小极差法. 相似文献
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研究非负约束全变分图像去模糊问题,提出了一个基于增广拉格朗日方法的积极集方法,并证明了该方法在有限步内可求解,进一步推出该方法等价于解非光滑方程组的半光滑牛顿法. 相似文献
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Johan Karlsson Anders Lindquist Axel Ringh 《Integral Equations and Operator Theory》2016,84(3):395-418
A long series of previous papers have been devoted to the (one-dimensional) moment problem with nonnegative rational measure. The rationality assumption is a complexity constraint motivated by applications where a parameterization of the solution set in terms of a bounded finite number of parameters is required. In this paper we provide a complete solution of the multidimensional moment problem with a complexity constraint also allowing for solutions that require a singular measure added to the rational, absolutely continuous one. Such solutions occur on the boundary of a certain convex cone of solutions. In this paper we provide complete parameterizations of all such solutions. We also provide errata for a previous paper in this journal coauthored by one of the authors of the present paper. 相似文献
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价格控制问题的基本性质 总被引:5,自引:0,他引:5
价格控制问题是一类重要的二层规划问题。最近,文[3,4]讨论了价格控制问题的最优性条件和解集的性质。本文先用反例说明[3]中关于价格控制问题的可行解的充分必要条件的一个命题是不确切的,并对[4]中基于该命题证得的不可靠结论在适当条件下进行了证明。 相似文献
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In this paper we study a generalization of the Orienteering Problem (OP) which we call the Clustered Orienteering Problem (COP). The OP, also known as the Selective Traveling Salesman Problem, is a problem where a set of potential customers is given and a profit is associated with the service of each customer. A single vehicle is available to serve the customers. The objective is to find the vehicle route that maximizes the total collected profit in such a way that the duration of the route does not exceed a given threshold. In the COP, customers are grouped in clusters. A profit is associated with each cluster and is gained only if all customers belonging to the cluster are served. We propose two solution approaches for the COP: an exact and a heuristic one. The exact approach is a branch-and-cut while the heuristic approach is a tabu search. Computational results on a set of randomly generated instances are provided to show the efficiency and effectiveness of both approaches. 相似文献
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In this paper, we introduce two iterative sequences for finding a common element of the set of fixed points of a nonexpansive
mapping and the set of solutions of an equilibrium problem in a Hilbert space. Then, we show that one of the sequences converges
strongly and the other converges weakly. 相似文献
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J. Rosenblueth 《Journal of Optimization Theory and Applications》2003,116(2):393-420
For certain optimal control problems with piecewise continuous controls, recently Loewen and Zheng (Ref. 1) and Zeidan (Ref. 2) defined two sets of generalized conjugate points for which, under normality assumptions, the second-order conditions in terms of the accessory problem imply their emptiness. However, simple examples show that checking the existence of such points may be more difficult than directly finding variations that make the second variation negative. In this paper, for the linear fixed-endpoint control problem, we introduce a new set whose emptiness is equivalent to the nonnegativity of the second variation along admissible variations. Moreover, we achieve by means of this set the main objective of introducing a characterization of this condition, namely, to obtain a simpler way of verifying it. 相似文献