Landscapes can really be shot with any focal length. You really don't have to go wide angle. Most professional landscapes are shot in the mid 20's to mid 30's (focal length) because of the lack of distortion to the resulting image. Going wider you acquire progressively more distortion (especially around the edges). So, the real question is how much distortion you like, want or can tolerate.
Another feature of wide angle lenses is how it obtains all of that extra view. The lens pulls in the extra view around all of the edges - top, bottom, and both sides. In doing that it essentially pushes the view at center of the lens further into the background - thereby further diminishing its impact to the over view. A byproduct of pushing the center further back is the increasing importance of the foreground. This is the stuff closest to the camera - by virtue of being close, it becomes at least equal in importance. That is usually why, with wide angle lenses - photographers usually find something of interest in the foreground to anchor their images.
A way around the distortion issue is to shoot with longer focal length lenses, where distortion is not a problem. In doing this you wind up shooting over the top of the foreground (its not in view). You can also emphasize the actual object of the scene - the mountains or whatever, by stitching adjoining shots together - as in a stitched panorama. Another byproduct of stitching, is that you are actually adding pixels to the resulting image. Wide angle lenses pull more scene into the existing pixels withing the frame. By virtue of this, the images tend to be somewhat less sharp - since each of the pixels is representing a substantially larger area.
Benefits of wide angle lenses are their ability to capture a scene of the moment - particularly when there is motion. You can't take a series of images of something in motion and then stitch them together and have the image not be disjointed. So, there are a lot of uses for WA lenses. Additional benefits are a very deep depth of field - its difficult to use a WA lens in such a way as to obtain any real object separation with the background. WA lenses also tend to inherently have very deep colorful renderings with lots of contrast.
I have acquired a number of WA lenses - perhaps the best is the 12-24 for several reasons. Even though its a zoom, its image quality is comparable to primes within its range. The Pentax version has distortion reasonably well controlled. The Forum tested a number a while ago, with the Sigma coming out on top. For an all around WA lens, I think its a good combination of focal lengths and capabilities. Its a f4 lens. In landscaping you really do not need a fast lens. WA lenses are also used for interior shots - where aperture speed is very helpful. That is where the DA 14/f2.8 works well - bringing additional light. To be fair, if the scene is fairly static, you can go with a slower lens, and just use a longer shutter speed, in order to capture the light.
To go wider, there is the Sigma 8-16 that is no longer available in the Pentax mount. At times it is too wide, but very useful for very large things. I like shooting sailing ships - tall ships with it. You can get up close. Also building interiors, etc. It really does not work with people in that the folks closest to the edges are really pulled and stretched.
The best bang for the buck with excellent image quality is the DA 16-45. It has been discontinued, much higher image quality than the kit and it goes for around $200 (and they are available). The extra 2mm in focal length is a substantial difference over the kit. Its physical size is not as large as the 8-16 or the 12-24 (nor the DA 14).
Samang has recently come out with a set of primes 10, 14 and 16mm with apertures of f2.8. I understand the image quality has been said to be very good.
It might be helpful to know what your intended usage of the lens is - general landscapes is a pretty large target.