赋范线性空间中一类算子的不动点逼近问题

Approximation of Fixed Points for a Kind of Operator in Normed Linear Spaces

设X为实赋范线性空间,K为X的一个闭凸有界子集,T:K→K是一致连续的半压缩算子.研究了这类算子的带有混合误差的Ishikwa迭代格式强收敛于T的唯一不动点,并且得到了若干新强收敛结果.

Let X be a real normed linear space, K be a nonempty and convex subset of X and T：K→K be a uniformly continuous and φ-hemicontractive operator. It is shown that the Ishikawa iterative process with mixed errors converges strongly to the unique fixed point of T, and several new strong convergence resuits are given and some known results are improved.