diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 47e3314c6d9c3..7a8e030b2d536 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -738,7 +738,12 @@ def _with_infer(cls, *args, **kwargs):
         return result
 
     @cache_readonly
-    def _constructor(self: _IndexT) -> type[_IndexT]:
+    def _constructor(
+        self: _IndexT,
+        name: Hashable | None = None,
+        copy: bool | None = None,
+        dtype=None,
+    ) -> type[_IndexT]:
         return type(self)
 
     @final
diff --git a/pandas/core/indexes/multi.py b/pandas/core/indexes/multi.py
index 574dfdf48055d..66c3d15676c5a 100644
--- a/pandas/core/indexes/multi.py
+++ b/pandas/core/indexes/multi.py
@@ -1148,7 +1148,12 @@ def _engine(self):
     # Return type "Callable[..., MultiIndex]" of "_constructor" incompatible with return
     # type "Type[MultiIndex]" in supertype "Index"
     @property
-    def _constructor(self) -> Callable[..., MultiIndex]:  # type: ignore[override]
+    def _constructor(
+        self: MultiIndex,
+        name: Hashable | None = None,
+        copy: bool | None = None,
+        dtype=None,
+    ) -> Callable[..., MultiIndex]:  # type: ignore[override]
         return type(self).from_tuples
 
     @doc(Index._shallow_copy)
diff --git a/pandas/core/indexes/range.py b/pandas/core/indexes/range.py
index 0948c5a3825d0..41ab0125c5014 100644
--- a/pandas/core/indexes/range.py
+++ b/pandas/core/indexes/range.py
@@ -188,7 +188,12 @@ def _simple_new(cls, values: range, name: Hashable = None) -> RangeIndex:
     # error: Return type "Type[Int64Index]" of "_constructor" incompatible with return
     # type "Type[RangeIndex]" in supertype "Index"
     @cache_readonly
-    def _constructor(self) -> type[Int64Index]:  # type: ignore[override]
+    def _constructor(
+        self: RangeIndex,
+        name: Hashable | None = None,
+        copy: bool | None = None,
+        dtype=None
+    ) -> type[Int64Index]:  # type: ignore[override]
         """return the class to use for construction"""
         return Int64Index