Hilbert空间中φ-强伪压缩映像的一个注记

A note on φ-strongly pseudocontractive mappings in Hilbert spaces

在cn‖xn-Txn‖2→0(n→∞)的条件下,在Hilbert空间中研究了一类未必连续,甚至未必有界的φ-强伪压缩映像的不动点的迭代序列逼近问题,获得了一个强收敛定理.

Iteractive approximation problem of fixed points for a class of φ-strongly pseudocontractive maps without continuity or even without boundedness in Hilbert space were studied under condtion cn Cn｜｜xn-Txn｜｜2→0（n→∞） , the strongly convergence theorem was established.