Lipschitzian m-accreti¨e operator, where the domain of T, D T , is a proper subset of E. For any f g E, approximation methods are constructed which converge strongly to the solution of the equation x q Tx s f. Explicit error estimates are given and convergence is at least as fast a geometric progres
Approximation Methods for Nonlinear Operator-Equations of the m-Accretive Type
β Scribed by C.E. Chidume; M.O. Osilike
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 472 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
It is proved that certain Mann and Ishikawa iteration procedures are stable with respect to strongly pseudo-contracti¨e mappings in real Banach spaces which are q-uniformly smooth, 1q -ϱ. A related result deals with stable iteration procedures for solutions of nonlinear equations of the accreti¨e ty
114α125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E Βͺ E is demicontinuous and strongly accretive, it is also proved that both the Ishikawa and the Mann iteration methods with errors converge strongly to the solution of the
ARTICLE NO. 0203 converges strongly to the unique solution of the equation Tx s f. A related result deals with the approximation of fixed points of -hemicontractive operatorsαa class of operators which is much more general than the important class of strongly pseudocontractive operators.
Let X be a uniformly smooth Banach space and T : X Βͺ X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex