Weyl Almost Periodic Functions in Locally Convex Spaces

In this paper, we introduce and analyze several new classes of Weyl $$\rho$$ -almost periodic type functions $$F:\Lambda\times X\rightarrow Y$$ , where $$\emptyset\neq\Lambda\subseteq{\mathbb{R}}^{n}$$ , $$X$$ is an arbitrary non-empty set, and $$Y$$ is a locally convex space over the field of complex numbers. We furnish several structural results and present some applications to the abstract Volterra integro-differential equations in locally convex spaces.