Content deleted Content added
Logicdavid (talk | contribs) →References missing in text: new section |
Logicdavid (talk | contribs) m added missing closed blockquote tag |
||
Line 20:
<blockquote>
'''Theorem.''' (Singbal).Let E be a locally convex Hausdorff l.t.s., K a non-empty closed convex subset of E, T a continuous mapping of K into '''a compact subset of K'''. Then T has a fixed point in K.
</blockquote>
Since x is a fixed point of T in K if and only if x is a fixed point in T(K), this theorem still uses the compactness of the set.
| |||