Fredholm-Choquet integral equations

DOI10.1216/JIE-2019-31-2-183zbMath1444.45002OpenAlexW2975682876MaRDI QIDQ2329286

Sorin Gheorghe Gal

Publication date: 17 October 2019

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1569225673

zbMATH Keywords

monotoneFredholm integral equation of second kindChoquet integralfixed point theoremsuccessive approximationsdistorted Lebesgue measuressubmodular and continuous from below set functionChoquet \(L^p\) space

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Other nonlinear integral equations (45G10) Integration with respect to measures and other set functions (28A25) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (3)

Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures ⋮ Volterra-Choquet nonlinear operators ⋮ Volterra-Choquet integral equations

Cites Work

• Quasicontinuity and measurability of functions of two variables.
• Non-additive measure and integral
• Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures
• Some Fubini theorems on product \(\sigma \)-algebras for non-additive measures
• Some inequalities and convergence theorems for Choquet integrals
• Capacitary function spaces
• Theory of capacities
• Generalized Measure Theory

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