Savaş, Ekrem2015-08-122015-08-12201497565161351029-242Xhttps://hdl.handle.net/11467/936http://dx.doi.org/10.1186/1029-242X-2014-480Recently, Patterson and Sava (Math. Commun. 10:55-61, 2005), defined the lacunary statistical analog for double sequences x = (x(k, I)) as follows: A real double sequences x = (x(k, I)) is said to be P-lacunary statistically convergent to L provided that for each epsilon > 0, P-lim(r,s) 1/h(r,s)vertical bar{(k,I) is an element of/(r,s) : vertical bar x(k, I) - L vertical bar >= epsilon }vertical bar= 0. In this case write st(theta)(2)-lim x = L or x(k, I) -> L(st(theta)(2)). In this paper we introduce and study lacunary statistical convergence for double sequences in topological groups and we shall also present some inclusion theorems.eninfo:eu-repo/semantics/openAccessDouble Lacunary; Double Lacunary Statistical Convergence; Topological Groups.ArticleQ2WOS:000347469300003Q22-s2.0-84934995190