A self-adhering, flexible, contact lens for adhering to cornea and scleral regions of an eye, the cornea and sclera each having a radius of curvature with the radius of curvature of the sclera being greater than the radius of curvature of the cornea, includes a central lens having a body including a contact surface and a viewing surface, the contact surface having a radius of curvature R1 that approximates the radius of curvature of the cornea, and an eye fixation system attached to the perimeter of the contact surface of the central lens,