2) Let $T: X \to X$ be an orbitally continuous mapping and $X$ be $T$-orbitally complete. If $T$ satisfies the following condition \\
$\min\{d(Tx, Ty), d(x, Tx), d(y, Ty)\} - \min\{d(x, Ty), d(y, Tx)\} \le kd(x, y)$ \\
for some $k < 1$ and for all $x, y \in X$, then $T$ has a fixed point in $X$.