Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 344-349
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V. I. Zabotin; N. K. Arutyunova. Two algorithms for finding the projection of a point onto a nonconvex set in a normed space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 344-349. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a3/
@article{ZVMMF_2013_53_3_a3,
author = {V. I. Zabotin and N. K. Arutyunova},
title = {Two algorithms for finding the projection of a point onto a nonconvex set in a normed space},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {344--349},
year = {2013},
volume = {53},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a3/}
}
TY - JOUR
AU - V. I. Zabotin
AU - N. K. Arutyunova
TI - Two algorithms for finding the projection of a point onto a nonconvex set in a normed space
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2013
SP - 344
EP - 349
VL - 53
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a3/
LA - ru
ID - ZVMMF_2013_53_3_a3
ER -
%0 Journal Article
%A V. I. Zabotin
%A N. K. Arutyunova
%T Two algorithms for finding the projection of a point onto a nonconvex set in a normed space
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 344-349
%V 53
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a3/
%G ru
%F ZVMMF_2013_53_3_a3
Two iteration algorithms are proposed for finding the projection of a point onto a nonconvex set in a normed space, which is given by $f(x) = 0$ equation. For the first case the left hand side of this equation is supposed to satisfy the subordination condition, which generalizes the Lipshitz condition. For the second casethe continuity of $f$ function is supposed and an approximate algorithm of projection is constructed.
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