Kluv\'anek-Lewis-Henstock integral in a Banach space
Abstract
We investigate some properties and convergence theorem of Kluv\'anek-Lewis-Henstock -integrability for -measurable functions that we introduced in ABH. We give a -a.e. convergence version of Dominated (resp. Bounded) Convergence Theorem for . We introduce Kluv\'anek-Lewis-Henstock integrable of scalar-valued functions with respect to a set valued measure in a Banach space. Finally we introduce (KL)-type Dominated Convergence Theorem for the set-valued Kluv\'anek-Lewis-Henstock integral.
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