@article{Górnicki_2009, title={On the structure of fixed point sets of asymptotically regular mappings in Hilbert spaces}, volume={34}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2009.049}, abstractNote={The purpose of this paper is to prove the following theorem: Let $H$ be a Hilbert space, let $C$ be a nonempty bounded closed convex subset of $H$ and let $T\colon C\rightarrow C$ be an asymptotically regular mapping. If $$ \liminf_{n\rightarrow \infty} \|T^n\|< \sqrt{2}, $$ then $Fix T=\{x\in C:Tx=x\}$ is a retract of $C$.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Górnicki, Jarosław}, year={2009}, month={Dec.}, pages={383–389} }