We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A CONTRACTION PRINCIPLE ON GAUGE SPACES WITH GRAPHS AND APPLICATION TO INFINITE GRAPH-DIRECTED ITERATED FUNCTION SYSTEMS.
- Authors
DINEVARI, T.; FRIGON, M.
- Abstract
We consider multi-valued maps deffined on a complete gauge space endowed with a directed graph. We establish a fixed point result for maps which send connected points into connected points and satisfy a generalized contraction condition. Then, we study infinite graph-directed iterated function systems (H-IIFS). We give conditions insuring the existence of a unique attractor to an H-IIFS. Finally, we apply our fixed point result for multi-valued contractions on gauge spaces endowed with a graph to obtain more information on the attractor of an H-IIFS. More precisely, we construct a suitable gauge space endowed with a graph G and a suitable multi-valued G-contraction such that its fixed points are sub-attractors of the H-IIFS.
- Subjects
DIRECTED graphs; ITERATIVE methods (Mathematics); FIXED point theory; EXISTENCE theorems; TOPOLOGICAL spaces; SET-valued maps
- Publication
Fixed Point Theory, 2017, Vol 18, Issue 2, p523
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2017.2.41