Pseudo-Convergences of Sequences of Measurable Functions on Monotone Multimeasure Spaces

DOI10.2478/v10157-011-0042-zzbMath1265.28035OpenAlexW2085627404MaRDI QIDQ2919603

Anca Precupanu, Alina Cristiana Gavriluţ

Publication date: 4 October 2012

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10157-011-0042-z

zbMATH Keywords

continuity from below and from abovepseudo-convergence in measureEgoroff type theoremmodes of pseudoconvergencenon-additive multimeasurepseudo-almost everywhere convergencepseudo-almost uniform convergence

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (1)

The pseudo-convergence of measurable functions on set-valued fuzzy measure space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Autocontinuity of set-valued fuzzy measures and applications
• A set-valued Egoroff type theorem
• Lebesgue theorems in non-additive measure theory
• The Egoroff theorem for non-additive measures in Riesz spaces
• The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
• Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions
• Asymptotic structural characteristics of fuzzy measure and their applications
• On the pseudo-autocontinuity of fuzzy measures
• Convergence of sequence of measurable functions on fuzzy measure spaces
• Fundamental convergence of sequences of measurable functions on fuzzy measure space
• Convergence of a sequence of fuzzy number-valued fuzzy measurable functions on the fuzzy number-valued fuzzy measure space
• Non-additive measure and integral
• On the convergence of measurable set-valued function sequence on fuzzy measure space
• On Egoroff's theorems on finite monotone non-additive measure space
• Order continuous of monotone set function and convergence of measurable functions sequence
• Conditions for Egoroff's theorem in non-additive measure theory
• Property (S) of fuzzy measure and Riesz theorem
• Some remarks on the double asymptotic null-additivity of monotonic measures and related applications
• Duality and ordinality in fuzzy measure theory

This page was built for publication: Pseudo-Convergences of Sequences of Measurable Functions on Monotone Multimeasure Spaces