Iterative approximation of solutions of nonlinear equations of Hammerstein type
Chidume, C. E. ; Zegeye, H.
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 353-365 / Harvested from Project Euclid
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Suppose $X$ is a real $q$ -uniformly smooth Banach space and $F,K: X\rightarrow X$ with $D(K)= F(X)=X$ are accretive maps. Under various continuity assumptions on $F$ and $K$ such that $0= u+KFu$ has a solution, iterative methods which converge strongly to such a solution are constructed. 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.
Publié le : 2003-03-26
Classification:  47H06,  47H15,  47H17,  47J25 
@article{1050425967,
     author = {Chidume, C. E. and Zegeye, H.},
     title = {Iterative approximation of solutions of nonlinear equations of Hammerstein type},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 353-365},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050425967}
}

Chidume, C. E.; Zegeye, H. Iterative approximation of solutions of nonlinear equations of Hammerstein type. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  353-365. http://gdmltest.u-ga.fr/item/1050425967/