On the infimum of the upper envelope of certain families of functions

Biagio Ricceri

In this paper, given a topological space $X$, an interval $I\subseteq \mathbf{R}$ and five continuous functions $\ddot{I}†,\ddot{I}ˆ,\ddot{I}‰:X\to \mathbf{R}$, $\hat{I}\pm ,{\hat{I}}^2:I\to \mathbf{R}$, we are interested in…