In the paper [13] we proved a fixed point theorem for an operator $\Cal A$, which satisfies a generalized Lipschitz condition with respect to a linear bounded operator $A$, that is: $$ m(\Cal A x-\Cal A y)\prec Am(x-y). $$ The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator $A$.
@article{118796, author = {Miros\l awa Zima}, title = {Applications of the spectral radius to some integral equations}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {695-703}, zbl = {0845.47047}, mrnumber = {1378690}, language = {en}, url = {http://dml.mathdoc.fr/item/118796} }
Zima, Mirosława. Applications of the spectral radius to some integral equations. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 695-703. http://gdmltest.u-ga.fr/item/118796/
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