Set-contractions and ball-contractions in Lp-spaces
✍ Scribed by T.Domínguez Benavides; J.M Ayerbe
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 383 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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## Abstract We study contractive, existence and optimal sets in modular spaces. We define the analogous classes of sets with respect to a modular and generalize a number of results due to Beauzamy and Maurey [3] and Bruck [9] to modular spaces. We then apply them to show that in certain Köthe seque
Conditions which guarantee the uniform convergence of random iterations of holomorphic contractions on unbounded domains in complex Hausdorff locally convex and sequentially complete topological vector spaces are established. Also, conditions concerning the convergence of random iterations of weaker