Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2003, Number 6 (2003), 353-365.
Iterative approximation of solutions of nonlinear equations of Hammerstein type
Suppose is a real -uniformly smooth Banach space and with are accretive maps. Under various continuity assumptions on and such that has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on and the operators and need not be defined on compact subsets of . Our method of proof is of independent interest.
Abstr. Appl. Anal., Volume 2003, Number 6 (2003), 353-365.
First available in Project Euclid: 15 April 2003
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47H06: Accretive operators, dissipative operators, etc. 47H15
Secondary: 47H17 47J25
Chidume, C. E.; Zegeye, H. Iterative approximation of solutions of nonlinear equations of Hammerstein type. Abstr. Appl. Anal. 2003 (2003), no. 6, 353--365. doi:10.1155/S1085337503209052. https://projecteuclid.org/euclid.aaa/1050425967