Pettis Integrability and the Equality of the Norms of the Weak ∗ Integral and the Dunford Integral

1985 ◽  
Vol 95 (2) ◽  
pp. 265
Author(s):  
Elizabeth M. Bator
Keyword(s):  
Pettis Integrability

From Scalar McShane Integrability to Pettis Integrability

2013 ◽  
Vol 38 (2) ◽  
pp. 445 ◽  
Author(s):  
M. Saadoune ◽  
R. Sayyad
Keyword(s):  
Pettis Integrability

scholarly journals Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

2017 ◽  
Vol 67 (6) ◽  
Author(s):  
Luisa Di Piazza ◽  
Valeria Marraffa
Keyword(s):  
Banach Spaces ◽  
Pettis Integral ◽  
Fuzzy Mapping ◽  
Pettis Integrability

AbstractIn this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable.

scholarly journals Pettis integrability

1992 ◽  
Vol 330 (1) ◽  
pp. 401-418 ◽  
Author(s):  
Gunnar F. Stefánsson
Keyword(s):  
Pettis Integrability

Pettis Integrability

1992 ◽  
Vol 330 (1) ◽  
pp. 401 ◽  
Author(s):  
Gunnar F. Stefansson
Keyword(s):  
Pettis Integrability

scholarly journals Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Wen-Xue Zhou ◽  
Hai-Zhong Liu
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Fractional Differential Inclusions ◽  
Existence Of Weak Solutions ◽  
Nonseparated Boundary Conditions ◽  
Mönch Fixed Point Theorem ◽  
Fractional Differential ◽  
Measures Of Weak Noncompactness ◽  
Pettis Integrability

We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions. Our analysis relies on the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.

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