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
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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.
@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},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {2013},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a3/ LA - ru ID - ZVMMF_2013_53_3_a3 ER -
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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/