Name of this type of crimps?
Those only have a name in the sense of the sense of the part numbers given to them by each manufacturer who makes them in the same name way 0.100&quot; square headers also don't have a name. Furthermore, even though the crimp terminals all plug into a 0.100&quot; pitch, 0.025&quot; square header pins, they may only work with the crimp housing for which they were intended.

@DKNguyen I am trying to buy these handy and cheap wire-to-wire connectors from mouser or RS components, but scanning through their huge category to find this is difficult... – Anthony 19 mins ago

I did the same thing you are trying to do now years ago ago and remember it being kind of a PITA and ended up saving the webpage.
It's hopeless to try and find the crimp contact in a vacuum. They aren't really identifiable on paper or through photos. But you can identify the the header (0.100&quot; pitch with 0.025&quot; square posts) which leads you to the crimp housing that goes with them (which you could also probably identify in which case you can skip the identification of the header). So start with what you know and follow the trail. The process I went through was:

Find the actual series name, series number, and part number for the crimp housing on Digikey/Mouser
Go onto the Molex website armed with that information to their web page about the crimp housing itself
Follow that webpage (or backtrack to higher levels depending on the the website is organized) to find the crimp contacts it was compatible with.

That gave me all possible combinations of everything they had available. I never bothered for other manufacturers. If you want another manufacturer then it's probably a similar process. The generic crimp housing and header specifications is 0.100&quot;/2.54 mm pitch crimp housing with 0.025&quot; square posts.
In my saved webpage from the Molex website, the high-force female crimp numbers are 16-02-1125/1109/1115/1117/1114/1116. The regular force crimp numbers are: 16-02-0102/0096/0103/0104/0097/0098. The difference between the six part numbers in each group are all possible combinations AWG (22-24AWG vs 24-30AWG) and plating (150u Sn, 15u Au, or 30u Au).