Fixed point properties for semigroup of nonexpansive mappings on Fréchet spaces
✍ Scribed by Anthony To-Ming Lau; Wataru Takahashi
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 397 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Using Krasnoselskii's fixed point theorem in a cone, we present a new fixed point theory for multivalued self maps between Frechet spaces. Our analysis relies on a diagonal process and a result on hemicompact maps due to K. K. Tan and X. Z. Ž .
We introduce the class of α-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for αnonexpansive mappings in uniformly convex Banach