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Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary Real Banach spaces

โœ Scribed by Zeqing Liu; Shin Min Kang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
476 KB
Volume
34
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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 iterative approximation of solutions of nonlinear equations involving accretive operators. Our results are the improvements and extension of the results obtained previously by Chidume [1,2], Liu [3], and Osilike [4,5]. (~) 2001 Elsevier Science Ltd. All rights reserved.

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