A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces

This paper introduces and explores new concepts of $ (m, q) $-isometric multimappings in the context of extended metric structures. These newly defined concepts serve as extensions of the existing theory of $ (m, q) $-isometric multimappings in traditional metric spaces, as well as $ (m, q) $-$ \mathcal{G} $-isometric single mappings in generalized metric spaces. The study aims to broaden the understanding of isometric multimappings properties and their interactions within these extended spaces.