On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 14-17
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In the paper we prove some properties of the continuous mappings $f:B\rightarrow -H$ of the closed unit ball $B$ of the real separable Hilbert space $H$ belonging to special $K_0$ class.
The definition and the basic properties of the class $K_0$ have been given in [1].
@article{UZERU_1987_1_a2,
author = {E. A. Mirzakhanyan},
title = {On an infinite-dimensional generalization of the {Brouwer} {Fixed-Point} {Theorem}},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {14--17},
publisher = {mathdoc},
number = {1},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_1987_1_a2/}
}
TY - JOUR AU - E. A. Mirzakhanyan TI - On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 1987 SP - 14 EP - 17 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_1987_1_a2/ LA - ru ID - UZERU_1987_1_a2 ER -
%0 Journal Article %A E. A. Mirzakhanyan %T On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 1987 %P 14-17 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_1987_1_a2/ %G ru %F UZERU_1987_1_a2
E. A. Mirzakhanyan. On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 14-17. http://geodesic.mathdoc.fr/item/UZERU_1987_1_a2/