On certain observations on split continuity and cauchy split continuity

Abstract In this paper, we study a weaker form of continuity known as split continuous function which was introduced in [Beer et al.: Split Continuity , J. Math. Anal. Appl. 474 (2019), 833–851]. In the first section, we emphasize the pointwise convergence of split continuous functions and characterize the pointwise limit of a sequence of split continuous functions. In the last section, we investigate Cauchy split continuous functions and their related properties.