Abstract
We establish the existence and approximation of solutions to the operator inclusion y ∈ Ty for deterministic and random cases for a nonexpansive and *-nonexpansive multivalued mapping T defined on a closed bounded (not necessarily convex) subset C of a Banach space. We also prove random fixed points and approximation results for *-nonexpansive random operators defined on an unbounded subset C of a uniformly convex Banach space.
| Original language | English |
|---|---|
| Pages (from-to) | 51-66 |
| Number of pages | 16 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 76 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2004 |
Bibliographical note
Funding Information:The first author work is supported by Kuwait University Research Grant SM 03/00. The second author acknowledges gratefully the support provided by King Fahd University of Petroleum and Minerals during this research.
Keywords
- *-nonexpansive random multivalued map
- Banach space
- Leray-Schauder condition
- Opial condition
- Random approximation
- Random fixed point
- Weakly inward operator
ASJC Scopus subject areas
- General Mathematics