On $L$-$\ddot{I}‰$-nonexpansive maps

Cleon S. Barroso, Jeimer V. Bedoya, Carlos S. R. da Silva

We consider $L$-$\ddot{I}‰$-nonexpansive maps $T:K\to K$ on a convex subset $K$ of a Banach space $X$, i.e., maps in which $\ddot{I}{‰}_T(\hat{I}´)\le L\hat{I}´+\ddot{I}‰(\hat{I}´)$ with $L\in [0,1]$, $\ddot{I}‰$ being a…