On metric semigroups-valued functions of bounded Riesz- $$\Phi $$ Φ -variation in several variables

A concept of absolute continuity and its characterization in terms of convergence in variation

“…Further results can be found, for example, in –, , , , . We also recall that other concepts of φ‐variation were given in the literature: among them, for example, the fine φ‐variation (see, e.g., ), the φ‐variation in the sense of Riesz (see, e.g., , , , ) or the φ‐variation in the sense of Schramm , .…”