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一致L-Lipschitz的渐近拟伪压缩型映象迭代收敛的充要条件
A NECESSARY AND SUFFICIENT CONDITION FOR THE ITERATIVE SEQUENCE CONVERGENCE TO THE FIXED POINT OF UNIFORMLY L-LIPSCHITZIAN ASYMPTOTICALLY QUASI PSEUDO-CONTRACTIVE TYPE MAPPING
【摘要】 设E是任意的实Banach空间,C是E的非空凸子集(C可以是E的无界子集),T:C→C是一致L-Lipschitz的渐近拟伪压缩型映象,在对参数的一些限制条件下,该文给出了带误差的修改的Ishikawa迭代序列强收敛于T的不动点的充要条件.
【Abstract】 Suppose E is a real Banach space,C is a nonempty convex subset of E(C may be a unbounded subset of E),T :C→C is a uniformly L-Lipschitzian asymptotically quasi pseudo-contractive type mapping,under some restrictive conditions on the parameters, a necessary and sufficient condition is given for the modified Ishikawa iterative sequence with error to converge strongly to a fixed point of T.
【关键词】 渐近拟伪压缩型映象;
带误差的修改的Ishikawa迭代序列;
不动点;
【Key words】 Asymptotically quasi pseudo-contractive type mapping; modified Ishikawa iterative sequence with error; fixed points.;
【Key words】 Asymptotically quasi pseudo-contractive type mapping; modified Ishikawa iterative sequence with error; fixed points.;
【基金】 国家自然科学基金(10471159);重庆市教委项目(KJ070806)资助课题.
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2008年04期
- 【分类号】O177.91
- 【被引频次】19
- 【下载频次】76