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Three-step Iterations with Errors for Nonlinear Strongly Accretive Operator Equations

โœ Scribed by Ke Su


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
112 KB
Volume
21
Category
Article
ISSN
0168-9673

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Let X be a uniformly smooth and uniformly convex Banach space and T : D T ลฝ . ลฝ . ; X ยช X be an m-accretive operator with the domain D T and the range R T . For any given f g X, we prove that the Mann and Ishikawa type iterative sequences with errors converge strongly to the unique solution of the

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AbstractmLet x be an arbitrary Banach space and T : D(T) C X --~ X be a Lipschitz C-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tz --/ under weaker conditions ar