The care and maintenance of the fingernails and toenails is nailcare. for taking care of your damaged nails you can also use Nail growth products
I would highly recommend Trend Setters Beauty parlour in Dubai for haircare, nailcare or skincare- they've it all.
Rio Beauty are based in the UK. They sell many products for hair removal, nailcare, facial and body beauty, and tooth whitening as well as dental care.
There appears to be numerous links to the company/product you are looking for. However, the name "Lume International Inc." appears to have no direct website. Sometimes companies change or alter their name, or are bought by another company. I did find a few links that sell products by a company called " Lume' Nailcare". This is most likely the same manufacturer that you are looking for. I would recommend searching sites for that name.