I want to put (to the left of the point) j = 1 to the point (0,0), j = 2 to the point (0,1/149), j = 3 to the point (0,2/149) and j = N to the point (0,3/149).
Also put (to the right of the point) j = 1 to the point (1,0), j = 2 to the point (1,1/149), j = 3 to the point (1,2/149) and j = N to the point (1,3/149).
Also put the three points "..." vertically instead of horizontally.
It doesn't matter if it's not framed.
I tried it as follows:
data = Transpose@Table[{i - 1, (j - 1)/149}, {i, 1, 2}, {j, 4}];
c1 = ListPlot[data, PlotStyle -> Black,PlotMarkers -> {"\[FilledCircle]", 7}, AspectRatio -> 1];
c2 = ListLinePlot[{{{0, 0}, {0, 1}}, {{1, 0}, {1, 1}}}, PlotStyle -> Black, AspectRatio -> 1];
c = Show[c1, c2, Ticks -> None, Frame -> True, FrameTicks -> {{{{0, "j=1"}, {1/149, "j=2"}, {2/149,
"j=3"}, {(2/149) + (1/298), "..."}, {3/149, "j=N"}},
Automatic}, {Automatic, Automatic}}]