We prove almost sure convergence for the logarithmic average of f(W(X(t))/ip(t)), where f is a suitable function, ~b(t) is a norming factor, W is a Wiener process and X is a suitable process, independent of W. Particular attention is paid for the case when X is the local time of a Wiener process or
Empirical processes of iterated maps that contract on average
β Scribed by Durieu, Olivier
- Book ID
- 123258133
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 361 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let K be a nonempty closed convex subset of a Banach space E, T : K β K a continuous pseudo-contractive mapping. Suppose that {Ξ± n } is a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary x 0 β K , the Mann type implicit iteration process {x n } given by x n = Ξ± n x n-1 +
In this paper, we consider a composite implicit iterative process for an infinite family of strictly pseudo-contractive mappings. Strong convergence theorems are established in an arbitrary real Banach space. The results presented in this paper improve and extend the recent ones announced by many ot