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 .
A fixed point theorem for Fréchet spaces
✍ Scribed by Simeon Reich
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 162 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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## Abstract An operator __T__ ∈ __L__(__E, F__) __factors over G__ if __T__ = __RS__ for some __S__ ∈ __L__(__E, G__) and __R__ ∈ __L__(__G, F__); the set of such operators is denoted by __L__^__G__^(__E, F__). A triple (__E, G, F__) satisfies __bounded factorization property__ (shortly, (__E, G, F