Suppose that X is an arbitrary real Banach space and T : X ª X is a continuous -strongly accretive operator. It is shown that the nonlinear equation Tx s f has a unique solution and under certain conditions both the Mann and Ishikawa itera-Ž tion methods with errors introduced by Y. Xu 1998, J. Math
Convergence theorems for multivalued Φ-hemicontractive operators and Φ-strongly accretive operators
✍ Scribed by N. Hirano; Zhenyu Huang
- Book ID
- 108458523
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 715 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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This paper proves that, under suitable conditions, the multivalued Ishikawa iterative sequence with errors strongly converges to the unique fixed point of T. The related result deals with the strong convergence of the Ishikawa iterative sequence with errors to the unique solution of the equation f E
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