|
|||||
|
|
On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces |
|
| Authors: | Tomonari Suzuki |
| Affiliation: | Department of Mathematics and Information Science, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan |
| Abstract: | In this paper, we prove the following strong convergence theorem: Let  be a closed convex subset of a Hilbert space  . Let  be a strongly continuous semigroup of nonexpansive mappings on  such that  . Let  and  be sequences of real numbers satisfying  ,  and  . Fix  and define a sequence  in  by  for  . Then  converges strongly to the element of  nearest to  . |
| Keywords: | Fixed point nonexpansive semigroup |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |