  In this paper, we establish some new variants of fixed point theorems for a
large class of countably nonexpansive multi-valued mappings. Some fixed point
theorems for the sum and the product of three multi-valued mappings defined on
nonempty, closed convex set of Banach algebras are also presented. These
results improve and complement a number of earlier works. As an application, we
prove existence results for a broad class of nonlinear functional integral
inclusions as well as nonlinear differential inclusions.
