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
Approximating fixed points of Φ-hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces
✍ Scribed by Zhenyu Huang
- Book ID
- 108459799
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 418 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
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X be a real uniformly smooth Banach space, K be a nonempty closed convex subset of X and T K + K be a generalized Lrpschrtzran and hemrcontractrve mapping It IS shown that the Ishlkawa iterative process with mrxed errors converges strongly to the unique fixed pomt of the mapping T As consequences, s
Let \(X\) be a real normed linear space, \(K\) be a nonempty and convex subset of \(X\) and \(T: K \rightarrow K\) be a uniformly continuous and hemicontractive mapping. It is shown that the Ishikawa iterative process with mixed errors converges strongly to the unique fixed point of \(T\). As conseq