Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed m-accretive mappings in Banach spaces
β Scribed by Dingping Wu; Shi-Sen Chang; George Yuan
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 117 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
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 recent results in Jung and Morales [
π SIMILAR VOLUMES
## 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
In this paper, by using the concept of (A, Ξ·)-accretive mappings and the new resolvent operator technique associated with (A, Ξ·)-accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving (A, Ξ·)-accretive mappings in Banach spaces, and construct a new