On the existence of solutions for Volterra integral inclusions in Banach spaces

Evgenios P. Avgerinos

International Journal of Stochastic Analysis, 1993, vol. 6, 1-9

Abstract:

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 α -condensing using for the proof of our results a known fixed point theorem for α -condensing maps.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:578049

DOI: 10.1155/S1048953393000218

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