A Fixed-Point Theorem in a Category of Compact Metric Spaces
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 146 شماره
صفحات -
تاریخ انتشار 1995