diff --git a/pandas-stubs/core/frame.pyi b/pandas-stubs/core/frame.pyi
index 2d6292faf..ef52cdaf9 100644
--- a/pandas-stubs/core/frame.pyi
+++ b/pandas-stubs/core/frame.pyi
@@ -1316,7 +1316,7 @@ class DataFrame(NDFrame, OpsMixin):
     ) -> DataFrame: ...
 
     # Add spacing between apply() overloads and remaining annotations
-    def applymap(
+    def map(
         self, func: Callable, na_action: Literal["ignore"] | None = ..., **kwargs
     ) -> DataFrame: ...
     def join(
diff --git a/pyproject.toml b/pyproject.toml
index 22bd97607..fa9326d53 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -39,7 +39,7 @@ mypy = "1.6.0"
 pandas = "2.1.1"
 pyarrow = ">=10.0.1"
 pytest = ">=7.1.2"
-pyright = ">=1.1.331"
+pyright = "==1.1.331"
 poethepoet = ">=0.16.5"
 loguru = ">=0.6.0"
 typing-extensions = ">=4.4.0"
diff --git a/tests/test_frame.py b/tests/test_frame.py
index c6bb280b9..be7e9fd9f 100644
--- a/tests/test_frame.py
+++ b/tests/test_frame.py
@@ -728,17 +728,15 @@ def gethead(s: pd.Series, y: int) -> pd.Series:
     )
 
 
-def test_types_applymap() -> None:
-    with pytest_warns_bounded(
-        FutureWarning, "DataFrame.applymap has been deprecated", lower="2.0.99"
-    ):
-        df = pd.DataFrame(data={"col1": [2, 1], "col2": [3, 4]})
-        df.applymap(lambda x: x**2)
-        df.applymap(np.exp)
-        df.applymap(str)
-        # na_action parameter was added in 1.2.0 https://pandas.pydata.org/docs/whatsnew/v1.2.0.html
-        df.applymap(np.exp, na_action="ignore")
-        df.applymap(str, na_action=None)
+def test_types_map() -> None:
+    # GH774
+    df = pd.DataFrame(data={"col1": [2, 1], "col2": [3, 4]})
+    df.map(lambda x: x**2)
+    df.map(np.exp)
+    df.map(str)
+    # na_action parameter was added in 1.2.0 https://pandas.pydata.org/docs/whatsnew/v1.2.0.html
+    df.map(np.exp, na_action="ignore")
+    df.map(str, na_action=None)
 
 
 def test_types_element_wise_arithmetic() -> None: