Joining attributes from point layer to line layer which the endpoint's geometry matches the point geometry

In QGIS 2.18 I have 2 layers, one is a multiline layer and the other is a point layer.

The point layer contain every endpoints of that multiline layer and saved some of the point’s own attributes.

I’d like to create 2 new fields in the multiline layer which are "start point type" and "end point type" and the type of start and end point of each line are recorded in the attribute table of point layer.

The question is that how to extract the content from other layer’s attribute table(and with different geometry type).

I’ve installed the refFunction plugin and find some function may be useful like geomequals.
Following is something I’ve try in the field calculator but not working(take start point for example).

case 
    when start_point($geometry) geomequals('LayerL','$geometry')
    then get_feature('LayerP', 'FieldP', '')
end 

LayerL is the multiline layer, LayerP is the point layer and FieldP is the field of point layer I’d like to fill in the new field.