Backport PR #58203 on branch 2.2.x (DOC: Add release date/contributors for 2.2.2) (#58206)

Backport PR #58203: DOC: Add release date/contributors for 2.2.2

Co-authored-by: Thomas Li <[email protected]>

Author: meeseeksmachine

doc/source/whatsnew/v2.2.1.rst

@@ -87,4 +87,4 @@ Other
 Contributors
 ~~~~~~~~~~~~
 
-.. contributors:: v2.2.0..v2.2.1|HEAD
+.. contributors:: v2.2.0..v2.2.1

doc/source/whatsnew/v2.2.2.rst

@@ -1,6 +1,6 @@
 .. _whatsnew_222:
 
-What's new in 2.2.2 (April XX, 2024)
+What's new in 2.2.2 (April 10, 2024)
 ---------------------------------------
 
 These are the changes in pandas 2.2.2. See :ref:`release` for a full changelog
@@ -40,3 +40,5 @@ Other
 
 Contributors
 ~~~~~~~~~~~~
+
+.. contributors:: v2.2.1..v2.2.2|HEAD