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\documentclass[tikz,border=2pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage{tgtermes,tgheros,tgcursor}% TeX-Gyre-Schriften
\usepackage[tbtags]{mathtools}
\mathtoolsset{centercolon}

\usetikzlibrary{arrows.meta,patterns}

\begin{document}
  \begin{tikzpicture}[
    >=Stealth,
    line cap=round,
    line join=round
  ]
    \draw[help lines,lightgray] (0,0) grid (6,6);
    \coordinate (A) at (2,2.5);%(2,3.5);
    \coordinate (B) at (3,1.5);%(3.5,2);
    \draw[<->] 
      (0,6) node[above left] {$f_2(x)$} |- 
      (6,0) node[below right] {$f_1(x)$}
    ;
    \filldraw[
      fill=green,
      fill opacity=0.25,
      text opacity=1,
      nodes={align=left}
    ] 
      (6,6) to[out=220,in=90] 
        node [
          pos=.55, 
          above left=1.5mm
        ] {unzulässiger\\Bereich}
        node [
          pos=.37, 
          below right=-.7mm
        ] {zulässiger\\Bereich}
      (A) to[out=270,in=180] 
      (B) to[out=0,in=220] (6,4)
    ;
    \fill 
      (A) circle[radius=2pt] 
      (B) circle[radius=2pt]
    ;
    \draw[ultra thick] 
      (A) to[out=270,in=180] coordinate [pos=.4] (bold curve coord)
      (B)
    ;
    \draw[dashed] 
        (0,0|-B) node[left] {$f_{2,\min}$} -- (B)% schließende Klammer ergänzt
        (0,0-|A) node[below] {$f_{1,\min}$} -- (A)% s. o.
    ;
    \draw[->,very thick] 
      (A-|B) node[above right,align=left] (PF) {Pareto-\\Front} -- 
      (bold curve coord)
    ;
  \end{tikzpicture}
\end{document}

\documentclass[11pt,border=2pt,ngerman]{standalone}
%\documentclass[parskip=half,ngerman]{scrartcl}
\usepackage[T1]{fontenc}
\usepackage{babel}

\usepackage[tbtags]{mathtools}
\mathtoolsset{centercolon}

\PassOptionsToPackage{svgnames}{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,patterns}


%\usepackage{lmodern}
\usepackage{tgtermes,tgheros,tgcursor}  % TeX-Gyre-Schriften
\usepackage{microtype}

\begin{document}
  \begin{tikzpicture}[
    >=Stealth,
    line cap=round,
    line join=round
  ]
    \draw[help lines,lightgray] (0,0) grid (6,6);
    \coordinate (A) at (2,2.5);%(2,3.5);
    \coordinate (B) at (3,1.5);%(3.5,2);
    \draw[<->] (0,6) node[above left] {$f_2(x)$} |- (6,0) node[below right] {$f_1(x)$};
    \filldraw[fill=green,fill opacity=0.25] (6,6) to[out=220,in=90] (A) to[out=270,in=180] (B) to[out=0,in=220] (6,4);
    \fill (A) circle[radius=2pt] (B) circle[radius=2pt];
    \draw[ultra thick] (A) to[out=270,in=180] (B);
    \draw[dashed] (0,1.5) node[left] {$f_{\text{2,min}$} -- (B);
    \draw[dashed] (2,0) node[below] {$f_{\text{1,min}$} -- (A);
    \node[anchor=west,text width=5.2em,align=left] (uB) at (1,5) {unzulässiger Bereich};
    \node[anchor=west,text width=4.2em,align=left] (zB) at (4,4.5) {zulässiger Bereich};
    \node[anchor=west,text width=3.3em,align=left] (PF) at (3,3) {Pareto"=Front};
    \draw[->,very thick] (PF) -- +(215:1.75);
  \end{tikzpicture}
\end{document}