How to move multiple vertices like subdivide? What I want to do is to move multiple vertices(upper picture) along the edges and all the other vertices appropriately like subdivide create new vertices(lower pictures). I hope I can move all the vertices along the lines at once where subdivide create vertices if you select more "Number of Cuts" in Subdivide submenu.

In short,
I want to Move vertices along the line between inner and outter vertices(upper picture) like subdivde creates vertices along the line. Lower picture is a sample of "subdivde" between inner and outter vertices





P.S.:curved shape
To move vertices precisely along edge normals, you can use an addon called Offset edges.
Installation
Once you download the addon, go to user preferences, install addon from file, and select the downloaded file. Then make sure to tick the chckemark button to enable the addon, and save user preferences.

Usage
Once you have it loaded, in edit mode, in the left-hand toolbar, there is a new sub-tab called offset edges. There are three commands - offset, extrude, and move. In your case, you would select the move command, after which you can specify the width.

A sidenote - it's best to model in quads whenever you can in order to be able to subdivide your geometry efficiently with loop cuts.