摘要
当T:D→D是严格伪压缩映射时,Osilike将Xu和Ori针对非扩张映象导出的隐迭代过程用于严格伪压缩映射并得到一系列收敛性结果。
本文试图将这些结果推广到带误差的情形。并就Hilbert空间和任意Banach空间两种情形,给出了严格伪压缩映射隐迭代过程的收敛性,这些结果推进了该项研究工作的进展。
Let T: D → D be a strictly pseudocontractive mapping. Osilike extended implicit iteration process for nonexpansive mapping introduced by Xu and Ori to the case for strictly pseudocontractive maps and got a series of the convergence results.The purpose of this paper is to generalize results of Osilike to the case with errors. The convergence results of implicit iteration process for strictly pseudocontractive maps in Hilbert space and arbitrary Banach space are given, respectively. These results improve the previous ones.
引文
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