This study aims to define the space of interval-valued Riesz convergent sequences and to provide a detailed analysis of its structural properties. The classical concept of Riesz convergence is generalized to sequences whose terms consist of closed and bounded intervals rather than real numbers. An appropriate metric structure is established on this space, and it is rigorously proven that the space is complete with respect to this metric. Furthermore, the quasilinear structure, certain topological properties, and the inclusion relations of this space with other related spaces are systematically investigated.
Tuncer et al. (Thu,) studied this question.