Fredholm-Choquet integral equations

Sorin G. Gal

doi:10.1216/JIE-2019-31-2-183

Abstract

In this paper we study the classical Fredholm integral equation of second kind, in which the Lebesgue type integral is replaced by the more general Choquet integral with respect to a monotone, submodular and continuous from below set function, including the so-called distorted Lebesgue measures.

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Sorin G. Gal. "Fredholm-Choquet integral equations." J. Integral Equations Applications 31 (2) 183 - 194, 2019. https://doi.org/10.1216/JIE-2019-31-2-183

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Published: 2019

First available in Project Euclid: 23 September 2019

zbMATH: 07118801

MathSciNet: MR4010584

Digital Object Identifier: 10.1216/JIE-2019-31-2-183

Subjects:

Primary: 45B05

Secondary: 28A12 , 28A25 , 45G10 , 45L05

Keywords: Choquet $L^{p}$-space , Choquet integral , distorted Lebesgue measures , fixed point Theorem , Fredholm integral equation of second kind , monotone , submodular and continuous from below set function , successive approximations

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