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A fixed point theorem in<i>c</i><sub>0</sub>

A fixed point theorem in<i>c</i><sub>0</sub>

It is proved that if K is the closed convex hull of a weakly convergent sequence in c 0 then each nonexpansive mapping T: K -> K has a fixed point.1* Introduction* The general problem with which we are concerned is: classify the weakly compact convex subsets K of a …