Is there some form of mild anibacterial eyewash?

Hi all,

I have an outdoor kitty, ex feral cat. I noticed that she oftentimes has some slime in one eye, sometimes bronish, sometimes whitish. Shje doesnt rub it or shows any discomfort so I dont think it's an acute infection. I think maybe it's the tearduct thing that some cats have.

Anyway I was wondering is there any mild antibiotic agent that I can put in water when I wash the eye out? I remember my mother used to have something many years ago, it was actually some human natural medicine with antibacterial effect but I can't remember the name anymore and unfortunately I can't ask my mother anymore either so I thought I ask around here if there is any advice.

Thanks

there are eye washes for cats at the pet store. plus, terramycin antibiotic eye ointment is available again. 

Update on this in case somebody needs info: I started to clean her eyes with wet cat cleaning towels from the petstore. It removes dried tear liquid every day and also I get a bunch of tiny hair in the towels as if she doesn't really clean herself very well, which I know she does not anyhow so I have to brush her every day. Since I do that, I think the situation has improved, maybe she is really just a bead cleaner and her eyes have problems when the dried tear stuff is not removed every day.