The maximal additive family for the class of graph continuous real functions (Q2774514)

In 1978 \textit{Z. Grande} [Demonstr. Math. 11, 519-526 (1978; Zbl 0392.26002)] introduced the notion of graph continuity of functions: a function \(f\: X\to Y\) is graph continuous if there exists a continuous function \(g\: X\to Y\) such that the closure of the graph of \(f\) contains the graph of \(g\). In this paper, the maximal additive family for the class of graph continuous functions is characterized.