Variational McShane and Pettis integrals of multifunctions
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Publication:6629718
DOI10.2478/TMMP-2024-0004MaRDI QIDQ6629718
Publication date: 30 October 2024
Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)
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Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Classical Banach spaces in the general theory (46B25) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Abstract differentiation theory, differentiation of set functions (28A15)
Cites Work
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- Gauge integrals and selections of weakly compact valued multifunctions
- Measurable selectors and set-valued Pettis integral in non-separable Banach spaces
- The variational McShane integral in locally convex spaces
- Convex analysis and measurable multifunctions
- Radon-Nikodym theorems for set-valued measures
- Geometric aspects of convex sets with the Radon-Nikodym property
- Birkhoff integral for multi-valued functions
- A variational Henstock integral characterization of the Radon-Nikodým property
- Descriptive characterizations of Pettis and strongly McShane integrals
- Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces
- Some remarks on descriptive characterizations of the strong McShane integral
- Variational Measures in the Theory of the Integration in ℝ m
- Pettis integral and measure theory
- On the Extension of Multimeasures and Integration with Respect to a Multimeasure
- Absolute Continuity of Some Vector Functions and Measures
- On the Pettis integral of closed valued multifunctions
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