Evgenios P. Avgerinos, "On the existence of solutions for Volterra integral inclusions in Banach spaces", International Journal of Stochastic Analysis, vol. 6, Article ID 578049, 9 pages, 1993. https://doi.org/10.1155/S1048953393000218
On the existence of solutions for Volterra integral inclusions in Banach spaces
In this paper we examine a class of nonlinear integral inclusions defined in a separable Banach space. For this class of inclusions of Volterra type we establish two existence results, one for inclusions with a convex-valued orientor field and the other for inclusions with nonconvex-valued orientor field. We present conditions guaranteeing that the multivalued map that represents the right-hand side of the inclusion is -condensing using for the proof of our results a known fixed point theorem for -condensing maps.
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