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
A method of solving systems of nonlinear Hammerstein-type integral equations
✍ Scribed by É. N. Krotova
- Book ID
- 112478314
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 310 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0041-5995
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📜 SIMILAR VOLUMES
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
The existence and uniqueness solution of the nonlinear integral equation of Hammerstein type with discontinuous kernel are discussed. The normality and continuity of the integral operator are proved. Toeplitz matrix method is used, as a numerical method, to obtain a nonlinear system of algebraic equ