Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 229-237
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G. M. Goncharov. On some existence theorems for the solutions of a class of nonlinear operator equations. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 229-237. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a11/
@article{MZM_1970_7_2_a11,
author = {G. M. Goncharov},
title = {On some existence theorems for the solutions of a class of nonlinear operator equations},
journal = {Matemati\v{c}eskie zametki},
pages = {229--237},
year = {1970},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a11/}
}
TY - JOUR
AU - G. M. Goncharov
TI - On some existence theorems for the solutions of a class of nonlinear operator equations
JO - Matematičeskie zametki
PY - 1970
SP - 229
EP - 237
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a11/
LA - ru
ID - MZM_1970_7_2_a11
ER -
%0 Journal Article
%A G. M. Goncharov
%T On some existence theorems for the solutions of a class of nonlinear operator equations
%J Matematičeskie zametki
%D 1970
%P 229-237
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a11/
%G ru
%F MZM_1970_7_2_a11
Theorems of M. A. Krasnosel'skii are generalized which concern fixed points of completely continuous operators which compress or expand a cone, and a topological principle for fixed points in the case of $P$-compact operators.