Geodesic
Applications of the spectral radius to some integral equations
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 4, pp. 695-703 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $A$.
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 $A$.
Classification : 34K10, 45G10, 47G10, 47H07, 47H10, 47J10
Keywords: fixed point theorem; spectral radius; integral-functional equation 
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     author = {Zima, Miros{\l}awa},
     title = {Applications of the spectral radius to some integral equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {695--703},
     year = {1995},
     volume = {36},
     number = {4},
     mrnumber = {1378690},
     zbl = {0845.47047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_4_a6/}
}
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Zima, Mirosława. Applications of the spectral radius to some integral equations. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 4, pp. 695-703. http://geodesic.mathdoc.fr/item/CMUC_1995_36_4_a6/