Strongly Lacunary delta-quasi-Cauchy sequences in 2-normed spaces
A sequence (x(k)) of points in a subset E of a 2-normed space X is called strongly lacunary delta-quasi-Cauchy, or N-theta-delta-quasi-Cauchy if (Delta x(k)) is N-theta-convergent to 0, that is lim(r ->infinity) 1/h(r) Sigma(k is an element of Ir) parallel to Delta(2)x(k), Z parallel to = 0 for every fixed z is an element of X. A function defined II on a subset E of X is called strongly lacunary delta-ward continuous if it preserves N-theta-delta-quasi-Cauchy sequences, i.e. (f(x(k))) is an N-theta-delta-quasi-Cauchy sequence whenever (x(k)) is. In this study we obtain some theorems related to strongly lacunary delta-quasi-Cauchy sequences.