I have this eye problem, had it for around 5 years now.. I want to know WHAT this is called,my docs don't know?

Well, around 5 years ago my family noticed this m that appeared on the end of my eye (on the iris.. the white of the eye ie) we went to a doctor who told me it was m which was growing and would be removed with a small operation which would take half an hour. We thought it was a small deal so we had it removed. The operation ended up lasting three hours because they thought it was just a little m, but as they plucked and my eye realized it was more than a little. Operation was a success but my eye had to be covered as it was healing. It was purple in colours and lumpy for days because of the blood. It became normal with time, but the iris was not as white as before. After a few months the growth came back on the iris. We went to another doctor this time (one of the bests in my city) he said my operation was down very "rougly" in the sense, with a lot of use of force and not with care and that they don't know why this growth keeps coming back on my iris but it is NOT cancerous or infected so there is nothing to worry about. At night my eye goes so dry because of the growth, and it hurts to keep it open. I can't directly look in the sunlight all the time. I depend on my drops because when I don't apply it that growth on the side looks like a red tomato, and when I do apply it, it looks skin colour (something better than red!) thing is, I am pretty and I love fashion (I'm a youngster btw) and because of this eye problem I lose my confidence. I have a side fringe so I always cover my one eye because I know it's not appealing to the person watching, and if I did have my eye shown I would be asked what was up with it EVERYDAY. Does anyone know what this problem is called? Can it be cured? I wanted to have a eye transplant, because I want to have a beautiful normal eye, I want ALL my confidence back.