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
Approximations for fixed points of φ-hemicontractive mappings by the Ishikawa iterative process with mixed errors
✍ Scribed by Yeol Je Cho; Haiyun Zhou; Shin Min Kang; Seong Sik Kim
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 650 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
✦ Synopsis
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, several new strong convergence results are deduced and some known results are improved @ 2001 Elsevrer Science Ltd All rrghts reserved Keywords-Bemrcontractron, Generalized Lrpschrtzran condltron, Ishrkawa iterative process with mlxed errors
📜 SIMILAR VOLUMES
## In this paper, the unique fixed point of multivalued +hemicontractive mapping is approximated by a perturbed iteration method in arbitrary real Banach spaces.
In thii paper, we introduce aud study Borne new Jshikawa and Mann iterative processes with errors for set-valued mappings in Banach spaces. We prove some strong convergence theorems of the new Ishikawa and Mann iterative processes with errors for set-valued strongly accretive and +hemicontractive ma
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