TY - JOUR
AU - Yu. V. Hnatyuk
PY - 2011/07/25
Y2 - 2023/03/24
TI - Relative Chebyshev point of a system of continuously varying bounded closed sets
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 63
IS - 7
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2773
AB - For the problem of finding a relative Chebyshev point of a system of continuously varying (in the sense of the Hausdorff metric) bounded closed sets of a normed space linear over the field of complex numbers, we establish some existence and uniqueness theorems, necessary and sufficient conditions, and criteria for a relative Chebyshev point and describe properties of the extremal functional and the extremal operator.
ER -