In this paper, we show that the weak nearly uniform smooth Banach spaces have the fixed point property for nonexpansive mappings.
Fixed points in the propositional nonmonotonic logic
β Scribed by Grigory F. Shvarts
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 317 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0004-3702
No coin nor oath required. For personal study only.
β¦ Synopsis
We give an explicit description of fixed points for propositional theories in the nonmonotonic logic of McDermott and Doyle. Using this description we refute two claims from McDermott and Doyle's original paper.
π SIMILAR VOLUMES
The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.
Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially