Mathematica Slovaca, cilt.65, sa.6, ss.1491-1504, 2015 (SCI-Expanded)
In this paper, we extend some results concerning statistical convergence in locally solid Riesz spaces by introducing a more general idea of convergence, namely Iλ-statistical convergence. We investigate the ideas of Iλ-statistical-τ-convergence, Iλ-statistical-τ-boundedness and Iλ-statistical-τ-Cauchy condition of sequences in a locally solid Riesz space endowed with a topology τ and investigate some of their consequences.