一致凸Banach空间中Lipschitz严格伪收缩映射的迭代逼近
ITERATIVE APPROXIMATION OF LIPSCHITZ STRICTLYPSEUDOCONTRACTIVE MAPPINGS IN UNIFORMLYCONVEX BANACH SPACES
摘要
证明了在一类p - 一致凸Banach 空间中,Ishikawa 迭代程序与Man 迭代程序都强收敛于Lipschitz 严格伪收缩映射的不动点,推广了文献[1]
We proved that the Ishikawa iteration process and the Man Ishikawa iteration process converge strongly to a fixd point of Lipschitz strictly pseudocontractive mappings in p- uniformly convex Banach spaces and extended the correspondent result of reference[1].
参考文献1
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1Prof. Klaus Deimling. Zeros of accretive operators[J] 1974,Manuscripta Mathematica(4):365~374