Volterra-Choquet integral equations

DOI10.1216/JIE-2019-31-4-495zbMath1443.45002MaRDI QIDQ2297063

Sorin Gheorghe Gal

Publication date: 18 February 2020

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1580958123

zbMATH Keywords

Choquet integralfixed point theoremsuccessive approximationsmonotone set functionVolterra integral equation of the second kindsubmodular set functiondistorted Lebesgue measurescontinuous from below and from above set function

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) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (2)

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

Cites Work

• Unnamed Item
• 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
• Fredholm-Choquet integral equations
• Some inequalities and convergence theorems for Choquet integrals
• Capacitary function spaces
• Theory of capacities
• Generalized Measure Theory

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