Abstract: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 $A$.
Keywords: fixed point theorem, spectral radius, integral-functional equation
AMS Subject Classification: 47H07, 47H10, 47G10