The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.
@article{bwmeta1.element.doi-10_2478_s11533-012-0102-y,
author = {Bogdan Przeradzki},
title = {A generalization of Krasnosel'skii fixed point theorem for sums of compact and contractible maps with application},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2012-2018},
zbl = {06137122},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0102-y}
}
Bogdan Przeradzki. A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application. Open Mathematics, Tome 10 (2012) pp. 2012-2018. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0102-y/
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