I don't know how much the mamelukes could expand beyond their borders at Egypt and the Hedjaz.
I could see them surviving against ottoman expansion for an extended period of time, but i don't think they can expand much into Europe beyond maybe Crete. They could take Arabia up to Syria and north africa up to Tunisia, but i don't think anything beyond is feasible for them.
I don't know how much the mamelukes could expand beyond their borders at Egypt and the Hedjaz.
I could see them surviving against ottoman expansion for an extended period of time, but i don't think they can expand much into Europe beyond maybe Crete. They could take Arabia up to Syria and north africa up to Tunisia, but i don't think anything beyond is feasible for them.
Well, anything is possible when you have a badass leader and wank-fertile events. But i think that's the only way for the mamluks to expand towards what thr OP may have desired.Those seem like extremely arbitrary limitations.
Frankly I know about as much about the Mamluks as I do about quantum physics (that is to say, very, very little) but it feels sort of disingenous to say "Once they reach X they'll have to stop because of reasons." I doubt anyone thought that an Islamic Turkic dynasty could ever lay seige to Vienna, but they did. I doubt anyone ever thought a race of horse-archers from a land so far away it was still considered mythical to the average peasant could conquer Hungary, but they did. I doubt anyone would have considered a collection of uppity English colonies on the eastern edge of a distant continent would become a super-power after a brutal war, and yet...
My point is, without examining the facts on the ground, you can't really paint the Mamluks with such broad strokes. For all we know they might have conquered Greece, Iran, and made their way to Cordoba.
The problem is the power base of the Mamluk regime.
The core of the army (and of the state) was the slave warriors (preferably of the Turkic steppe origin); and their number was limited by definition.
Once the il-Khanid Iran tried to choke the supply of the military slaves to Egypt from their traditional sources and that provoked serious problems.
The Ottoman Turkey had much more extensive recruiting grounds close at hand - their Turkic tribes and even recruiting the jannicaries they did not depend on the far away places.
So building the Empire on the so narrow power base as Mamluks did is a disadvantage from the very beginning.