You have very poor reading skills and ignored what I posted about the amelakites and their origins in the Arabia peninsula backed up by facts and fellow Arabic writers… Even your silly map you posted clearly shows where Amelikites and Ishmaelites co exsisted in the Arabian pennisuela ..You either do this on purpose or you just lie which one is it….Asfor Saudi’s Arabia I know more then you think so don’t be getting cocky unless you want some more surprises…You don't know anything about Saudi Arabia.
Meanwhile,
The territory of the Amalekites:
The Amalekites had their origin within the Edomites, being descendants of Esau. They are often associated with Edom, living in the same area as Edom.
Their traditional territory is transjordan between Babylon and the gulf of Aqaba.
The Amalekites were enemies of Israel.
The Amalekite territory very was similar to the Ishmaelites: "Ishmael settled from Havilah to Shur which is east of Egypt as one goes toward Assyria [this would indicate a route south east side of the dead sea]; he settled in defiance of all his relatives." Genesis 25:18
They liked to live in mountainous terrain: Judges 12:15
So based upon 1 Sam 15:6-7 and 1 Sam 27:8, we can see that the Amalekite territory was between Havilah and Shur. The Amalekites lived transjordan between Babylon and Ezion Geber. Saul defeated the Amalekites whose "city" where they lived, was in a region "from Havilah as you go to Shur" which is entirely "transjordan" between Midian and Babylon: 1 Samuel 15:7
The border between Israel and Egypt at the time of David was the Wadi el-Arish. Egypt controlled the entire modern Sinai Peninsula. We know that 1 Sam 15:6-7 and 1 Sam 27:8 say that the Amalekites lived as far as Egypt and east of the Arabah Valley. This proves Egypt's border was the Wadi el-Arish.
The Amalekites lived near Kadesh Barnea at the time of Abraham: Genesis 14:7
The Amalekites were living in Mt. Seir (Edom) at the time of the conquest: 1 Chronicles 4:42-43
One stop before they reached Sinai, Amalek came to fight Moses at Rephidim: Ex 17:8
At Kadesh Barnea (near or at Petra), when the spies brought back a bad report, Israel was warned not to enter the promised land or else the Amalekites and the Canaanites would defeat Israel.
At this point, the Amalekites are living in the Negev which would become the territory of Judah: Numbers 13:29. Notice also that Moses told them to turn south away from the promised land and take the "wilderness by the way of the Red Sea": Numbers 14:25. This means that they went from Petra down towards Ezion Geber (modern Elat).
The Kenites lived in the mountains and with the Amalekites: Numbers 24:20-21; 1 Samuel 15:6