Convergence Theorems of Mann and Ishikawa Iterative Processes with Errors for Multivalued Φ-strongly Accretive Mapping

张国伟 · 东北数学:英文版 · 2003

Let X be a real Banach space and A : X→ 2^X a bounded uniformly continuous Φ-strongly accretive multivalued mapping. For any f∈ X, Mann and Ishikawa iterative processes with errors converge strongly to the unique solution of Ax(←∈) f. The conclusion in this paper weakens the stronger conditions about errors in Chidume and Moore's theorem (J.Math.Anal .Appl.,245(2000),142-160).

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