Das, PratulanandaSavaş, Ekrem2020-11-212020-11-2120150139-99181337-2211https://doi.org/10.1515/ms-2015-0101https://hdl.handle.net/11467/3895In this paper, we extend some results concerning statistical convergence in locally solid Riesz spaces by introducing a more general idea of convergence, namely I-lambda-statistical convergence. We investigate the ideas of I-lambda-statistical-t-convergence, I-lambda-statistical-tau-boundedness and I-lambda-statistical-tau-Cauchy condition of sequences in a locally solid Riesz space endowed with a topology t and investigate some of their consequences. (C) 2015 Mathematical Institute Slovak Academy of Scienceseninfo:eu-repo/semantics/closedAccessidealfilterI-statistical-tau-convergenceI-lambda-statistical-tau-convergenceI-lambda-statistical-tau-boundednessI-lambda-statistical-tau-Cauchy conditionI-lambda-statistical-tau-continuityArticle65614911504Q4WOS:000372199300018Q22-s2.0-8495876094110.1515/ms-2015-0101