Let E be a real Banach space with a uniformly convex dual space E\*. Suppose ลฝ . T : E ยช E is a continuous not necessarily Lipschitzian strongly accretive map ลฝ . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges str
The solution by iteration of nonlinear equations involving Psi-strongly accretive operators
โ Scribed by Chika Moore
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 108 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
and uniformly quasi-accretive multivalued map with nonempty closed values such that the range of (I -A) is bounded and the inclusion f E Ax has a solution x\* E E. It is proved that Ishikawa and Mann type iteration processes converge strongly to x\*. Further, if T : E ~-\* 2 E is a uniformly continu
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