We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Random fixed point theorem in generalized Banach space and applications.
- Authors
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
- Abstract
In this paper, we prove some random fixed point theorems in generalized Banach spaces. We establish a random version of a Krasnoselskii-type fixed point theorem for the sum of a contraction random operator and a compact operator. The results are used to prove the existence of solution for random differential equations with initial and boundary conditions. Finally, some examples are given to illustrate the results.
- Subjects
FIXED point theory; BANACH spaces; RANDOM operators; COMPACT operators; DIFFERENTIAL equations; CONTRACTIONS (Topology)
- Publication
Random Operators & Stochastic Equations, 2016, Vol 24, Issue 2, p93
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/rose-2016-0007