An iterative method for solving nonlinear integral equations of Hammerstein type
✍ Scribed by Chidume, C.E.; Djitté, N.
- Book ID
- 121726573
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 257 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and
Let E be a 2-uniformly real Banach space and F , K : E → 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