Existence of solutions of nonlinear Fredholm-type integral equations in Hölder space. (English) Zbl 07714666

Summary: Using Darbo’s fixed point theorem, we present an existence result for the solution of a nonlinear integral equation of Fredholm type in the space of functions satisfying the Hölder condition. We also give an example to illustrate the mentioned existence result.


26B35 Special properties of functions of several variables, Hölder conditions, etc.
45B05 Fredholm integral equations
47H08 Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
47H10 Fixed-point theorems
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