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Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed m-accretive mappings in Banach spaces

✍ 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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✦ 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 [


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✍ Ljubomir B. Δ†iriΔ‡; Jeong Sheok Ume πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 1 views

## 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__ βŠ‚ __X__ β†’ 2

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