how long has this been going on ? is there significant ithcing ? what color is the discharge ? did you recently get something in that eye that may be causing allergic reaction (pet hair, dander) ?
IS there a bump on your lid either inside or outside?
Could you send a photo?
It looks like you are having some problems with replying. Anyway, your symptoms could be due to conjunctivitis. It may be viral in nature since anti-biotics are not helping you. Anti-biotics may still be used to prevent secondary bacterial infection. Sometimes, cornea gets involved and in such cases steroid drops may be required. Other possibilities could be a stye on lid, allergic conjunctivitis etc. You need to see an ophthalmologist to confirm the diagnosis. Thanks.
Even though the picture is not much clear, you could be having viral conjunctivitis which should resolve within a week's time(sometimes it may take longer). Lids are edematous and so there is drooping which is called mechanical ptosis. If cornea is involved you will require steroid drops. So, I would suggest you to see an ophthalmologist. Thanks.