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Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type

✍ Scribed by Eric U. Ofoedu; David M. Malonza

Book ID
108051977
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
276 KB
Volume
217
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES

On approximate solution for operator equ
On approximate solution for operator equations of Hammerstein type
✍ Nguyen Buong πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 445 KB

The aim of this paper is to investigate a method of approximating a solution of the operator equation of Hammerstein type x + KF(x) = f by solutions of similar finite-dimensional problems which contain operators better than K and F. Conditions of convergence and convergence rate are given and an ite

Solution of nonlinear integral equations
Solution of nonlinear integral equations of Hammerstein type
✍ C.E. Chidume; E.U. Ofoedu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 223 KB

Let E be a 2-uniformly real Banach space and F , K : E β†’ E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u + KFu = 0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is pr