An iterative procedure for constructing zeros of accretive sets in Banach spaces
โ Scribed by Simeon Reich
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 564 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x โข D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then