Lenses advertised as using the Sony E-mount (Wikipedia) are compatible with Sony NEX cameras, including your NEX-F3.
The Meike-E-35-1.7 lens you linked to has an E-mount bayonet, so it is compatible with your camera.
The Helios 44M-2 lens you linked to has an M42 mount bayonet, so it is not directly compatible with your camera. However, you can get a M42-to-E-mount adapter, that will allow you to mount that lens, or any other M42 mount lens, to your camera. M42 lenses are strictly manual, so you will not be able to autofocus the lens, and you will have to manually set the aperture on the lens, as well as have to use stop-down metering.
While the 3rd party lens market for Sony E-mount cameras isn't nearly as robust as the 3rd party lens market for Canon and Nikon cameras, there are several 3rd party lenses available, or coming soon. Wikipedia has a List of third-party E-mount lenses.