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Approximation of Solutions of Nonlinear Equations of Monotone and Hammerstein Type

✍ Scribed by Gilbert, R.P.; Chidume, C.E.; Zegeye, H.


Book ID
127266443
Publisher
Taylor and Francis Group
Year
2003
Tongue
English
Weight
649 KB
Volume
82
Category
Article
ISSN
0003-6811

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Solution of nonlinear integral equations
✍ 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