A FIXED POINT THEOREM FOR THE NONEXPANSIVE MAPPINGS IN ANY REFLEXIVE BANACH SPACE
We propose a proof of the following important open problem: let K be a nonempty convex bounded closed subset of a reflexive Banach space. Then every nonexpansive mapping has a fixed point.
reflexive Banach spaces, strictly convex Banach spaces, Kadec-Klee property, nonexpansive mapping, fixed point.
