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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 122, Pages 13–16 (Mi znsl4035)  

An estimation of deviation of fixed points from a nonconvex set

N. M. Gulevich
Abstract: In. this notes the estimation $\delta(F_i\times f, A)\leqslant2^{-\frac12}d(A)$, is given, where $A$ is an nonvoid closed bounded nonconvex set in a Hilbert space $H$, $f\colon\overline{\operatorname{co}}A\to H$ is a nonexpansive mapping and $f(\partial A)\subset A$, $\delta(F_i\times f, A)$ is the deviation of the fixed point set of a mapping $f$ from the set $A$, $d(A)$ is the diameter of the set $A$, $\partial A$ is the boundary of the set $A$ in $H$.
Bibliographic databases:
Document Type: Article
UDC: 515.126.4, 517.988.52
Language: Russian
Citation: N. M. Gulevich, “An estimation of deviation of fixed points from a nonconvex set”, Investigations in topology. Part IV, Zap. Nauchn. Sem. LOMI, 122, "Nauka", Leningrad. Otdel., Leningrad, 1982, 13–16
Citation in format AMSBIB
\Bibitem{Gul82}
\by N.~M.~Gulevich
\paper An estimation of deviation of fixed points from a~nonconvex set
\inbook Investigations in topology. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 122
\pages 13--16
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4035}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=661461}
\zmath{https://zbmath.org/?q=an:0492.47032}
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