@ARTICLE{TBA, TITLE={[FORTHCOMING] Metrical Weyl almost automorphy and applications}, AUTHOR={S. Abbas , M. Kostić, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={}, NUMBER={Forthcoming papers
}, YEAR={2024}, URL={https://openscience.fr/Metrical-Weyl-almost-automorphy-and-applications}, DOI={TBA}, ISSN={1869-6090}, ABSTRACT={In this paper, we reconsider and slightly generalize various classes of Weyl almost automorphic functions ([29], [33]). More precisely, we consider here various classes of metrically Weyl almost automorphic functions of the form $$$F : {\mathbb R}^{n} \times X \rightarrow Y$$$ and metrically Weyl almost automorphic sequences of the form $$$F : {\mathbb Z}^{n} \times X \rightarrow Y$$$, where $$$X$$$ and $$$Y$$$ are complex Banach spaces. The main structural characterizations for the introduced classes of metrically Weyl almost automorphic functions and sequences are established. In addition to the above, we provide several illustrative examples, useful remarks and applications of the theoretical results.}}