排序方式: 共有210条查询结果,搜索用时 15 毫秒
81.
In this article, we first introduce two iterative methods for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the proposed iterative methods converge strongly to a minimum norm element of two sets. 相似文献
82.
郝彦 《数学的实践与认识》2008,38(15)
在Banach空间中,讨论有限族渐近非扩张映射和非扩张映射的具有误差项的显迭代格式的强收敛和弱收敛性,其结果推广和改进了相关结果. 相似文献
83.
An iterative method for finding common solutions of equilibrium and fixed point problems 总被引:1,自引:0,他引:1
Vittorio Colao 《Journal of Mathematical Analysis and Applications》2008,344(1):340-352
We introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem and of the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. 相似文献
84.
H. Iiduka 《Journal of Optimization Theory and Applications》2009,140(3):463-475
The main aim of the paper is to accelerate the existing method for a convex optimization problem over the fixed-point set
of a nonexpansive mapping. To achieve this goal, we present an algorithm (Algorithm 3.1) by using the conjugate gradient direction.
We present also a convergence analysis (Theorem 3.1) under some assumptions. Finally, to demonstrate the effectiveness and
performance of the proposed method, we present numerical comparisons of the existing method with the proposed method. 相似文献
85.
This paper deals with the problem of finding minimum‐norm fixed point of nonexpansive mappings. We present two types of iteration methods (one is implicit, and the other is explicit). We establish strong convergence theorems for both methods. Some applications are given regarding convex optimization problems and split feasibility problems. These results improve some known results existing in the literatures. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
86.
Giuseppe Marino 《Journal of Mathematical Analysis and Applications》2006,318(1):43-52
Let H be a real Hilbert space. Consider on H a nonexpansive mapping T with a fixed point, a contraction f with coefficient 0<α<1, and a strongly positive linear bounded operator A with coefficient . Let . It is proved that the sequence {xn} generated by the iterative method xn+1=(I−αnA)Txn+αnγf(xn) converges strongly to a fixed point which solves the variational inequality for x∈Fix(T). 相似文献
87.
Francesco S. de Blasi Józef Myjak Simeon Reich Alexander J. Zaslavski 《Set-Valued and Variational Analysis》2009,17(1):97-112
We study nonexpansive set-valued maps in Banach and metric spaces. We are concerned, in particular, with the generic existence
and approximation of fixed points, as well as with the structure of fixed point sets.
相似文献
88.
A subset A of a metric space X is said to be a nonexpansive proximinal retract (NPR) of X if the metric projection from X to A admits a nonexpansive selection. We study the structure of NPR's in the space C(K) of continuous functions on a compact Hausdorff space K. The main results are a characterization of finite-codimensional and of finite-dimensional NPR subspaces of C(K) and a complete characterization of all NPR subsets of . 相似文献
89.
Tomonari Suzuki 《Proceedings of the American Mathematical Society》2007,135(1):99-106
In this paper, we prove a Halpern-type strong convergence theorem for nonexpansive mappings in a Banach space whose norm is uniformly Gâteaux differentiable. Also, we discuss the sufficient and necessary condition about this theorem. This is a partial answer of the problem raised by Reich in 1983.
90.
A strong convergence theorem for relatively nonexpansive mappings in a Banach space 总被引:10,自引:0,他引:10
In this paper, we prove a strong convergence theorem for relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming. Using this result, we also discuss the problem of strong convergence concerning nonexpansive mappings in a Hilbert space and maximal monotone operators in a Banach space. 相似文献