Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 3, Pages 261-269
doi:10.1155/S1048953393000218
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.