The solution by iteration of nonlinear equations of Hammerstein type
β Scribed by Chika Moore
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 115 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The unique solution of a general nonlinear Hammerstein-type equation is obtained based on the contraction mapping principle. Introducing a suitable weighted norm, the range of values of the involved parameter allowed by the contraction mapping principle is shown to be increased. Detailed constructio
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
Let E be a real q-uniformly smooth Banach space. Suppose T is a strongly pseudocontractive map with open domain D(T) in E. Suppose further that T has a fixed point in D ( T ) . Under various continuity assumptions on T it is proved that each of the Mann iteration process or the Ishikawa iteration me