On the structure of fixed-point sets of uniformly lipschitzian mappings

Ewa Sędłak, Andrzej Wiśnicki

DOI: http://dx.doi.org/10.12775/TMNA.2007.033

Abstract


It is shown that the set of fixed points of any $k$-uniformly lipschitzian
mapping in a uniformly convex space is a retract of a domain if $k$ is close
to $1$.

Keywords


Uniformly lipschitzian mapping; retraction; fixed point; uniformly convex space

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