排序方式: 共有27条查询结果,搜索用时 15 毫秒
1.
Nguyen Buong 《数学学报(英文版)》2010,26(3):587-594
The aim of the paper is to propose an iterative regularization method of proximal point type for finding a common solution for a finite family of inverse-strongly monotone equations in Hilbert spaces. 相似文献
2.
The purpose of this paper is to investigate the Tikhonov regularization method for solving a system of ill-posed equilibrium
problems in Banach spaces with a posteriori regularization-parameter choice. An application to convex minimization problems with coupled constraints is also given. 相似文献
3.
Nguyen Buong 《Ukrainian Mathematical Journal》1997,49(5):697-707
The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational
inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are
considered. An example in the theory of generalized eigenvectors is given for illustration.
Institute of Information Technology, Vietnam. Published in Ukrainskii Matematicheskii Zhunal, Vol. 49, No. 5, pp. 629–637,
May, 1997. 相似文献
4.
Nguyen Buong 《Computational Mathematics and Mathematical Physics》2007,47(10):1583-1588
The goal of this study is to analyze the Tikhonov regularization method as applied to a general nonlinear optimization problem
that has been previously reduced to an unconstrained optimization problem. The stability properties of the method are examined,
and its convergence is proved.
The text was submitted by the author in English. 相似文献
5.
Nguyen Buong Nguyen Thi Hong Phuong 《Journal of Optimization Theory and Applications》2013,159(2):399-411
In this paper, in order to solve a variational inequality problem over the set of common fixed points of an infinite family of nonexpansive mappings on a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, we introduce two new implicit iteration methods. Their strong convergence is proved, by using new V-mappings instead of W-ones. 相似文献
6.
Nguyen Buong Vu Xuan Quynh Nguyen Thi Thu Thuy 《Journal of Fixed Point Theory and Applications》2016,18(3):519-532
In this paper, in order to solve a variational inequality problem over the fixed point set of a nonexpansive mapping on uniformly smooth or reflexive and strictly convex Banach spaces with a uniformly Gâteaux differentiable norm, we investigate an explicit iteration method, based on the steepest-descent and Krasnosel’skii–Mann algorithms. We also show that some modifications of the last and Halpern-type algorithms are special cases of our result. 相似文献
7.
In this paper, we propose a new simple explicit iterative algorithm to find a solution for variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gâteaux differentiable norm. Two numerical examples also are given for illustration. 相似文献
8.
Nguyen Buong Pham Thi Thu Hoai Nguyen Duong Nguyen 《Journal of Fixed Point Theory and Applications》2017,19(4):2383-2395
In this paper, we introduce implicit and explicit iterative methods for solving a variational inequality problem over the set of zeros for a maximal monotone mapping in Hilbert spaces. As consequence, new modifications of the proximal point method are obtained. 相似文献
9.
Nguyen Buong 《Ukrainian Mathematical Journal》2003,55(7):1198-1206
The convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear monotone ill-posed problems in a Banach space are established on the basis of the choice of a regularization parameter by the Morozov discrepancy principle. 相似文献
10.
Nguyen Buong Nguyen Thi Hong Phuong 《Computational Mathematics and Mathematical Physics》2012,52(11):1487-1496
In this paper, we introduce two regularization methods, based on the Browder-Tikhonov and iterative regularizations, for finding a solution of variational inequalities over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gateaux differentiate norm. 相似文献