The purpose of this paper is to study the convergence of the Ishikawa and Mann iterative sequences with mixed errors to approximate the solutions of nonlinear operator equations with perturbed maccretive mappings in arbitrary Banach spaces. The results presented in this paper extend and improve some
Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces
β Scribed by Liu Lishan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 96 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ β __X__ β 2
Let X be an arbitrary real Banach space and T : X -\* X be a Lipschitz strongly pseudocontraction. It is proved that certain Ishikawa iteration procedures with errors are both convergent and T-stable. A few related results deal with the convergence and stability of the iteration procedures for the i
In this paper, some new results on convergence of iterative processes with errors for setvalued pseudocontractive and accretive mappings in Banach spaces are obtained. Our results extend and improve a number of the recent results.