科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let K be a closed convex subset of a real Hilbert space H and let T : K -> K be a continuous pseudocontractive mapping. Then for beta is an element of (0, 1) and each t is an element of (0, 1), there exists a sequence {y(t)} subset of K satisfying y(t) = beta P-K [(1 - t)y(t)] + (1 - beta)T(y(t)) which converges strongly, as t -> 0(+), to the minimum-norm fixed point of T. Moreover, we provide an explicit iteration process which converges strongly to a minimum-norm fixed point of T provided that T is Lipschitz. Applications are also included. Our theorems improve several results in this direction.
- 出版日期2012
