Title
A fixed-point theorem in a category of compact metric spaces
Abstract
Various results appear in the literature for deriving existence and uniqueness of fixed points for endofunctors on categories of complete metric spaces. All these results are proved for contracting functors which satisfy some further requirements, depending on the category in question. Following a new kind of approach, based on the notion of η- isometry , we show that the sole hypothesis of contractivity is enough for proving existence and uniqueness of fixed points for endofunctors on the category of compact metric spaces and embedding-projection pairs.
Year
DOI
Venue
1995
10.1016/0304-3975(95)00015-O
Theor. Comput. Sci.
Keywords
DocType
Volume
compact metric space,fixed-point theorem
Journal
146
Issue
ISSN
Citations 
1-2
Theoretical Computer Science
5
PageRank 
References 
Authors
0.82
11
3
Name
Order
Citations
PageRank
Fabio Alessi18312.04
Paolo Baldan269651.95
Gianna Bellè3183.87