I just read that Edelstein fixed point theorem did not assume compactness in his original proof of his fixed point theorem for contractive mappings, but rather the existence of a point $a \in X$ whose sequence of iterates $x_n=f_n(a)$ has a convergent subsequence. What would the proof look like?
2026-03-25 16:05:52.1774454752
Edelstein's fixed point theorem
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