排序方式: 共有210条查询结果,搜索用时 15 毫秒
61.
In this paper, we study a fixed point and a nonlinear ergodic properties for an amenable semigroup of nonexpansive mappings on a nonempty subset of a Hilbert space. 相似文献
62.
该文利用曲线族的模,得到了n维空间中的有界凸域 D 到单位球 Bn上的 K -拟共形映射f的全局Holder连续性, 且Holder指数α=K1/(1-n)是最佳的. 相似文献
63.
Fixed point theorems and convergence theorems for some generalized nonexpansive mappings 总被引:2,自引:0,他引:2
We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger than quasinonexpansiveness. We present fixed point theorems and convergence theorems for mappings satisfying the condition. 相似文献
64.
Yasunori Kimura Wataru Takahashi 《Journal of Mathematical Analysis and Applications》2009,357(2):356-363
We prove strong convergence theorems by the hybrid method given by Takahashi, Takeuchi, and Kubota for a family of relatively nonexpansive mappings under weaker conditions. The method of the proof is different from the original one and it shows that the type of projection used in the iterative method is independent of the properties of the mappings. We also deal with the problem of finding a zero of a maximal monotone operator and obtain a strong convergence theorem using this method. 相似文献
65.
Evgeniy Pustylnik Alexander J. Zaslavski 《Journal of Mathematical Analysis and Applications》2011,380(2):759-767
Using a geometric approach (in particular, angles between subspaces), we establish useful estimates regarding convergence of infinite products involving orthogonal projections and other (possibly nonlinear) nonexpansive operators in Hilbert space. 相似文献
66.
该文在Banach空间里引进一种新的修改的Mann算法,来寻求一族无限个非扩张映射的公共元素.在适当条件下,得到了一个强收敛定理.所得结果改进和推广了许多最近的相关结果. 相似文献
67.
68.
在Hilbert空间中,用Fan-KKM定理导出了广义平衡问题的辅助问题的解的存在性和唯一性,讨论了寻找广义平衡问题和一族非扩张映象的公共不动点集的迭代序列,证明此序列强收敛于这两个集合的公共元.本文结论改进了一些近期结果. 相似文献
69.
Maria A. Japón Pineda 《Journal of Mathematical Analysis and Applications》2002,272(1):380-391
In this paper we prove that w-fixed point property and w★-fixed point property are equivalent concepts for L-embedded Banach spaces which are duals of M-embedded spaces. Similar results will be obtained with respect to the normal structure. These equivalences will be applied to establish new fixed point results for different examples. We will also prove the existence of fixed points for both nonexpansive and asymptotically regular mappings defined on subsets of L-embedded Banach spaces which are sequentially compact for the abstract measure topology. We will check that our results do not hold in the case of the weak topology. 相似文献
70.
Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E with a uniformly Gâteaux differentiable norm, and a nonexpansive self-mappings semigroup of K, and a fixed contractive mapping. The strongly convergent theorems of the following implicit and explicit viscosity iterative schemes {xn} are proved.
xn=αnf(xn)+(1−αn)T(tn)xn, 相似文献