scholarly journals On the equivalence of McShane and Pettis integrability in non-separable Banach spaces

2009 ◽  
Vol 350 (2) ◽  
pp. 514-524 ◽  
Author(s):  
José Rodríguez
Keyword(s):  
Banach Spaces ◽  
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.

Fractional Order Pettis Integral Equations with Multiple Time Delay in Banach Spaces

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
Mouffak Benchohra ◽  
Fatima-Zohra Mostefai
Keyword(s):  
Banach Space ◽  
Integral Equation ◽  
Time Delay ◽  
Banach Spaces ◽  
Fractional Order ◽  
Existence Of Solutions ◽  
Multiple Time ◽  
Pettis Integral ◽  
Measure Of Weak Noncompactness ◽  
Pettis Integrability

Abstract This paper is devoted to study the existence of solutions under the Pettis integrability assumption for an integral equation of fractional order with multiple time delay in Banach space by using the technique of measure of weak noncompactness. Mathematics Subject Classification 2010: 26A33, 34A08.

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