On some existence theorems for the solutions of a class of nonlinear operator equations
Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 229-237
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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.
@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},
publisher = {mathdoc},
volume = {7},
number = {2},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a11/}
}
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/