%0 Journal Article %A Jiménez-Rodríguez, Pablo %A Martínez-Gómez, María E. %A Muñoz-Fernández, Gustavo A. %A Seoane-Sepúlveda, Juan B. %T Injectiveness and Discontinuity of Multiplicative Convex Functions %D 2021 %@ 2227-7390 %U https://hdl.handle.net/20.500.14352/7346 %X In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points. %~