A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces
โ Scribed by Nan-Jing Huang; Min-Ru Bai
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 458 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
AbstraetmThe main purpose of this paper is to introduce and study a new perturbed iteration method for multivalued mappings. Some strong convergence theorems of perturbed iteration sequences for multivalued pseudo-contractive mappings and strongly accretive mappings are obtained.
๐ SIMILAR VOLUMES
Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K โ P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V
## In this paper, the unique fixed point of multivalued +hemicontractive mapping is approximated by a perturbed iteration method in arbitrary real Banach spaces.
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 ot