On the Pettis integral of closed valued multifunctions
From MaRDI portal
Publication:5925755
DOI10.1023/A:1026547222209zbMath0974.28009OpenAlexW194119429MaRDI QIDQ5925755
El Amri, Khadija, Hess, Christian
Publication date: 19 February 2001
Published in: Set-Valued Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026547222209
Aumann integralPettis integrable selectionsPettis integralscalarly integrable multifunctionsset-valued functionsset-valued integralunbounded set
Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60)
Related Items (33)
SET-VALUED CHOQUET-PETTIS INTEGRALS ⋮ Birkhoff integral for multi-valued functions ⋮ A note on comparisons between Birkhoff and McShane-type integrals for multifunctions ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Decomposability in the space ofHKP-integrable functions ⋮ The Pettis integral for multi-valued functions via single-valued ones ⋮ Unnamed Item ⋮ Second order three boundary value problem in Banach spaces via Henstock and Henstock-Kurzweil-Pettis integral ⋮ A strong law of large numbers for non identically distributed Pettis integrable random sets in a general Banach space ⋮ Set valued Aumann-Pettis integrable martingale representation theorem and convergence ⋮ Set valued integrability in non separable Fréchet spaces and applications ⋮ Convergence theorem of Pettis integrable multivalued pramart ⋮ Solution tube method for impulsive periodic differential inclusions of first order ⋮ Unnamed Item ⋮ Conditional expectation of Pettis integrable random sets: existence and convergence theorems ⋮ Unnamed Item ⋮ Second order three-point boundary value problems in abstract spaces ⋮ Multi-integrals of finite variation ⋮ A decomposition theorem for compact-valued Henstock integral ⋮ A decomposition theorem for the fuzzy Henstock integral ⋮ On the existence of generalized weak solutions to discontinuous fuzzy differential equations ⋮ Set-valued Kurzweil-Henstock-Pettis integral ⋮ Convergence theorems for Pettis integrable functions and regular methods of summability ⋮ Unnamed Item ⋮ A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications ⋮ Measurable selectors and set-valued Pettis integral in non-separable Banach spaces ⋮ Unnamed Item ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces ⋮ Unnamed Item ⋮ A new fuzzy McShane integrability ⋮ Unnamed Item ⋮ On the solutions of Caputo-Hadamard Pettis-type fractional differential equations ⋮ Strong law of large numbers of Pettis-integrable multifunctions
This page was built for publication: On the Pettis integral of closed valued multifunctions
