Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces

In this study, the concept of statistical convergence in $\mathscr{A}$-metric spaces is revisited and generalized via $(V, \lambda)$-summability. Within this framework, the notions of $\lambda$-statistical convergence, $\lambda$-statistical $\mathscr{A}$-Cauchy sequences, and strongly $\mathscr{A}(V,\lambda)$-summable sequences in $\mathscr{A}$-metric spaces are introduced. Moreover, the relationships among these concepts are systematically examined.