Hello and Welcome to HCM,
Thanks for writing to us.
Sun exposure can aggravate pigmentation.Keeping the sunprotection is important to treat hyperpigmentation
. Use sunscreen with SPF 50.
Effective oral and topical medications are now available for Hyperpigmentation around eye.
My advise to you would be to use topical Glyaha cream with good moisturizer.
Take vitamin C
Hope this helps you.
Wishing you good health...