有限多个集值映象公共不动点的修正的Mann迭代程序

On the modified mann iterative procedure for finding common fixed points of finitely many set-valued mappings

研究用于寻求有限多个集值似Φ-伪压缩映象公共不动点的修正的Mann迭代程序.在似广义Lipschitzian条件下证明了分别在Hilbert空间与一致光滑Banach空间中由修正的Mann迭代程序生成的序列强收敛到这有限多个集值似Φ-伪压缩映象唯一的公共不动点.

We study the modified Mann iterative procedure for finding common fixed points of finitely many set-valued Ф-pseudo- contractive-like mappings. It is shown that under the generalized-Lipschitzian-like condition the sequence generated by the modified Mann iterative procedure converges strongly to the unique common fixed point of these finitely many set-valued Ф -pseudocontractive-like mappings in a Hilbert space and in a uniformly smooth Banach space, respectively.