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    STUDIA MATHEMATICA - Issue no. 4 / 2009  
         
  Article:   ON THE CONVERGENCE RATES OF PICARD, MANN AND ISHIKAWA ITERATIONS OF GENERALIZED CONTRACTIVE OPERATORS.

Authors:  JOHNSON O. OLALERU.
 
       
         
  Abstract:  The convergence rates of Picard, Mann and Ishikawa iterations have been compared by several authors for a class of quasi-contractive maps defined on an arbitrary closed convex subset of a Banach space (e.g. [1], [3] and [10]). In this paper, a comparison of the convergence rates of those iterations are studied for a more general class of operators called the generalized contractive operators.

Key words and phrases. Fixed point, quasi-contraction, Picard iteration, Mann iteration, Ishikawa iteration.
 
         
     
         
         
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