JIPAM

Iterative Solution of Nonlinear Equations of Hammerstein Type  
 
  Authors: H. Zegeye,  
  Keywords: Accretive operators, Uniformly smooth spaces, Duality maps.  
  Date Received: 10/08/03  
  Date Accepted: 05/09/03  
  Subject Codes:

47H04,47H06,47H30,47J05,47J25.

  
  Editors: Ram U. Verma,  
 
  Abstract:

Suppose $ X$ is a real Banach space and $ F, K: Xrightarrow X$ are accretive
maps. Under different continuity assumptions on $ F$ and $ K$ such that the inclusion $ 0= u+KFu $ has a solution, iterative methods are constructed which converge strongly to such a solution. No invertibility assumption is imposed on $ K$ and the operators $ K$ and $ F$ need not be defined on compact
subsets of $ X$. Our method of proof is of independent interest.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=333