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  Volume 3, Issue 5, Article 83
 
Strong Convergence Theorems for Iterative Schemes with Errors for Asymptotically Demicontractive Mappings in Arbitrary Real Normed Linear Spaces
    Authors: Yeol Je Cho, Haiyun Zhou, Shin Min Kang,  
    Keywords: Asymptotically demicontractive mapping, Modified Mann and Ishikawa iteration schemes with errors, Arbitrary linear space.  
    Date Received: 30/04/02  
    Date Accepted: 05/09/02  
    Subject Codes:

47H05,47H10

  
    Editors: Sever S. Dragomir,  
 
    Abstract:

 In the present paper, by virtue of new analysis technique, we have established several strong convergence theorems for the modified Ishikawa and Mann iteration schemes with errors for a class of asymptotically demicontractive mappings in arbitrary real normed linear spaces. Our results extend, generalize and improve the corresponding results obtained by Igbokwe [1], Liu [2], Osilike [3] and and others.

[1] D.I. IGBOKWE, Approximation of fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces, to appear in J.Ineq. Pure and Appl. Math.
[2] Q.H. LIU, Convergence theorems of sequence of iterates for asymptotically demicontractive and hemicontractive mappings, Nonlinear Anal. Appl., 26 (1996), 1835--1842.
[3] M.O. OSILIKE, Iterative approximations of fixed points asymptotically demicontractive mappings, Indian J. Pure Appl. Math., 29 (1998), 1291--1300.

         
       
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