RT journal article T1 New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences A1 Listán García, María del Carmen A1 Kişi, Ömer A1 Gürdal, Mehmet A2 Matemáticas K1 multiset sequences K1 J-lacunary statistical Cauchy K1 I ∗ -lacunary statistical Cauchy K1 J-lacunary statistical limit point K1 J-lacunary statistical cluster point AB This paper explores the concepts of J-lacunary statistical limit points, J-lacunarystatistical cluster points, and J-lacunary statistical Cauchy multiset sequences. Buildingupon previous work in the field, we investigate the relationships between J-lacunarystatistical convergence and J∗ -lacunary statistical convergence in multiset sequences. Thefindings contribute to a deeper understanding of the convergence behaviour of multisetsequences and provide new insights into the application of ideal convergence in this context. PB MDPI SN 2227-7390 YR 2025 FD 2025 LK http://hdl.handle.net/10498/36403 UL http://hdl.handle.net/10498/36403 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026