On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces
โ Scribed by Ioannis K. Argyros; Yeol Je Cho; Xiaolong Qin
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 515 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we consider a composite implicit iterative process for an infinite family of strictly pseudo-contractive mappings. Strong convergence theorems are established in an arbitrary real Banach space. The results presented in this paper improve and extend the recent ones announced by many others.
๐ SIMILAR VOLUMES
In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 โค k < 1 and prove that the sequence {x n } converges strongly to a fixed point of T , which solves a variational inequality related to the linear operator A. Our results have extended and improve
In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves th
Let K be a nonempty closed convex subset of a Banach space E, T : K โ K a continuous pseudo-contractive mapping. Suppose that {ฮฑ n } is a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary x 0 โ K , the Mann type implicit iteration process {x n } given by x n = ฮฑ n x n-1 +