Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces
✍ Scribed by M.O. Osilike
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 78 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Suppose that X is a uniformly smooth Banach space and T : X -X is a demicontinuous (not necessarily Lipschitz) #-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = TX and f = z+Tx, respectively. A related
AbstractmLet x be an arbitrary Banach space and T : D(T) C X --~ X be a Lipschitz C-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tz --/ under weaker conditions ar