广义强一致ψ半压缩算子的带误差修正多步Ishikawa迭代的收敛性.pdfVIP

西南大学学报〈自然科学版〉 2008 年 8 月 第 304第 8 期 Vo). 30 No.8 10urnal of Southwest University (Natural Science Edition) Aug. 2008 立编寄: 1673 - 9868(2008)08 - 0023 - 05 Convergence of Modified MuIti幽Step Ishikawa lterations with Errors for Generalized Strongly Successively -Hemicontractive Operators LIU Qi-fei , . DENG Lei 50阳划。11 徊。昭matícs and Statístics. Southwest Unívers;ty. αlOngq;ng 4∞715. Ch;na Abstract: In this pallCr. we study the convergence of modified mul仔step Ishikawa it盯ations with errors for general- ized strongly successively Ý -hemicontractive ollCrators. Our results general ize the recent results of the pa llCrs 01 Zhenyu Huang. B. E. Rhoades. C. E. Chidume andmany others under a le回 advantageous condi tio. Key wor也: gener.lized .trongly successively -hemi∞ntractive ollCrator; modified mul廿剖ep Ishika川 Îteration with tnor; convergence CLCnUDI悦r: 0177.19 D悦._ot c:ode: A In 2004 , [lJ prove that the equivalence of the convergence criteria between the modified Mann-Ishika- wa iteration w ith errors and multi-step iteration for strongly pseudo-contractive operator. In 2006 , [ 2 J prove that the equivalence of the convergence criteria between the modifi ed Mann-Ishikawa iteration with errors and multi-step iteration with errors for successively strongly pseudo-contractive operatofl In 2007 , [3J proves that the equivalence of the convergence criteria b etween the lshik awa and Mann iteration with errors for successivelyψ-pseudo-contractive operator. Similarly other papers 5u(h a~ [ 1 , 2 , 3J only obtain that the equivalen