Let's use a bit of real data to give you a full answer. I've checked Yelp to find the opening times of restaurants in London, Reading and Swindon (thanks to @ZachLipton for the idea!). The findings are summarised below:
| City | Open on Fri 7PM | Open on Mon 7PM | % closed on Mon |
|---------|-----------------|-----------------|-----------------|
| London | 8073 | 7326 | 9.3% |
| Reading | 130 | 125 | 3.8% |
| Swindon | 41 | 36 | 12.2% |
So the answer is no, it is not too common for a restaurant to be closed on Mondays in the UK.
We can also compare our findings with equivalent statistics for the Turkish cities of Istanbul, Ankara, Izmir:
| City | Open on Fri 7PM | Open on Mon 7PM | % closed on Mon |
|----------|-----------------|-----------------|-----------------|
| Istanbul | 3174 | 3119 | 1.7 |
| Ankara | 481 | 473 | 1.7 |
| Izmir | 270 | 266 | 1.5 |
The data above confirms your observation that it is very uncommon for Turkish restaurants to be closed on Monday.