On the existence of solutions for Volterra integral inclusions in Banach spaces. (1993)

• Record Type: Journal Article
• Authors: Avgerinos Avgerinos, Evgenios P. Evgenios P.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 3(1993)
• Page Start: 261
• Page End: 269
• Publication Date: 1993
• Subjects: Volterra integral inclusions -- Aumann selection theorem -- radial retraction -- α-condensing map; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953393000218
• Languages: English
• ISSNs: 1048-9533

Abstract

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.