Existence Results for a Coupled System of Perturbed Functional Differential Inclusions in Banach Algebras.

In this paper, we establish some new fixed point theorems for a 2×2<inline-graphic></inline-graphic> block operator matrix defined on nonempty, bounded, closed, and convex subsets of Banach algebras, where the inputs are multi-valued mappings. The obtained results are then applied to a coupled system of perturbed functional differential inclusions of initial and boundary value problems in order to prove the existence of solutions under a Carathéodory condition. [ABSTRACT FROM AUTHOR]