Geodesic
An estimation of deviation of fixed point set
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 182-185

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An estimate for the distance between a bounded set $B$ in a uniformly smooth Banach space and the fixed-point set of a nonexpanding mapping $T$ is given. It is assumed that an iteration of $T$ properly takes into $B$ the set of extremal points of $B$. Bibliography: 4 titles. 
@article{ZNSL_1993_208_a10,
     author = {N. M. Gulevich},
     title = {An estimation of deviation of fixed point set},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {182--185},
     publisher = {mathdoc},
     volume = {208},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/}
}
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N. M. Gulevich. An estimation of deviation of fixed point set. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 182-185. http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/