\documentclass{article}

\usepackage{tikz}
\usetikzlibrary{decorations.markings,positioning,arrows}

\begin{document}

\tikzset{->-/.style={decoration={
markings, 
mark=at position 0.5 with {\arrow{>}}},postaction={decorate}}}

\begin{tikzpicture}

    \node (A) at (0,0) {};
    \node (B) at (3,0) {};

    \draw[fill] (A) circle [radius=0.025];
    \draw[fill] (B) circle [radius=0.025];
    
    \node [left] at (A) {$x$};
    \node [right] at (B) {$y$};
    
    \draw [->-=0.5] (0,0) to [bend left=50] (3,0) ;
    \draw [->-=0.5] (0,0) to [bend right=50] (3,0) ;
  
    \node (F) at (1.5,1) {$f$};
    \node (G) at (1.5,-1) {$g$};

    \draw[->,double] (1.5,0.4) to node[left] {$\alpha$} (1.5,-0.4);

\end{tikzpicture}

\end{document}