The concept of bounded variation has been generalized in many ways. In the frame of functions taking values in Banach space, the concept of bounded semivariation is an important generalization. The aim of this paper is to provide an accessible summary of this notion, to illustrate it with an appropriate body of examples, and to outline its connection with the integration theory due to Kurzweil.
"On Functions of Bounded Semivariation." Real Anal. Exchange 40 (2) 233 - 276, 2015.