Georgie Girl, there are several lighting shops in Fethiye.
One is Fethiye Lighting Centre (Fethiye Avize Elek) found at Karaçulha Mah. Narli Caddesi No: 157/3 Fethiye / Mugla [https://www.mylamp.com.tr/]. I bought all my lighting there for my home and it is an Aladdin's Cave of delights...make sure you plan a couple hours if you want to go through all of it.
There are a number of others on the main streets in and around Calis and Fethiye, I believe there's a good one on Adnan Menderes Blvd, plus, you'll find lighting in nearly all the main furniture shops and you can order online from Ikea as well.
Many, many choices....
Dale