diff --git a/fastapi/_compat/v1.py b/fastapi/_compat/v1.py
index fbbec552c..a8b279ae4 100644
--- a/fastapi/_compat/v1.py
+++ b/fastapi/_compat/v1.py
@@ -350,7 +350,13 @@ def get_model_fields(model: Type[BaseModel]) -> List[ModelField]:
     return list(model.__fields__.values())  # type: ignore[attr-defined]
 
 
-def ignore_invalid(cls, v, values, field, **kwargs) -> Any:
+def ignore_invalid(
+    cls: Any,
+    v: Dict[str, Any],
+    values: Dict[str, Any],
+    field: ModelField,
+    **kwargs: Any,
+) -> Any:
     from .may_v1 import _regenerate_error_with_loc
 
     field_copy = deepcopy(field)
@@ -398,6 +404,8 @@ def ignore_invalid(cls, v, values, field, **kwargs) -> Any:
     return v
 
 
-def omit_by_default(field_info: FieldInfo) -> tuple[FieldInfo, dict]:
+def omit_by_default(
+    field_info: FieldInfo,
+) -> Tuple[FieldInfo, Dict[str, Callable[..., Any]]]:
     """add a wrap validator to omit invalid values by default."""
     return field_info, {"ignore_invalid": Validator(ignore_invalid, pre=True)}
diff --git a/fastapi/_compat/v2.py b/fastapi/_compat/v2.py
index 5f2815ac7..82d248b5d 100644
--- a/fastapi/_compat/v2.py
+++ b/fastapi/_compat/v2.py
@@ -493,7 +493,7 @@ def get_long_model_name(model: TypeModelOrEnum) -> str:
 if shared.PYDANTIC_VERSION_MINOR_TUPLE >= (2, 6):
     # Omit by default for scalar mapping and scalar sequence mapping annotations
     # added in Pydantic v2.6 https://github.com/pydantic/pydantic/releases/tag/v2.6.0
-    def _omit_by_default(annotation):
+    def _omit_by_default(annotation: Any) -> Any:
         origin = getattr(annotation, "__origin__", None)
         args = getattr(annotation, "__args__", ())
 
@@ -501,13 +501,15 @@ if shared.PYDANTIC_VERSION_MINOR_TUPLE >= (2, 6):
             new_args = tuple(_omit_by_default(arg) for arg in args)
             return Union[new_args]
         elif origin in (list, List):
-            return List[_omit_by_default(args[0])]
+            return List[_omit_by_default(args[0])]  # type: ignore[misc]
         elif origin in (dict, Dict):
-            return Dict[args[0], _omit_by_default(args[1])]
+            return Dict[args[0], _omit_by_default(args[1])]  # type: ignore[misc,valid-type]
         else:
-            return OnErrorOmit[annotation]
+            return OnErrorOmit[annotation]  # type: ignore[misc]
 
-    def omit_by_default(field_info: FieldInfo) -> tuple[FieldInfo, dict]:
+    def omit_by_default(
+        field_info: FieldInfo,
+    ) -> tuple[FieldInfo, Dict[str, Callable[..., Any]]]:
         new_annotation = _omit_by_default(field_info.annotation)
         new_field_info = copy_field_info(
             field_info=field_info, annotation=new_annotation
@@ -554,7 +556,9 @@ else:
 
             return handler(v)
 
-    def omit_by_default(field_info: FieldInfo) -> tuple[FieldInfo, dict]:
+    def omit_by_default(
+        field_info: FieldInfo,
+    ) -> tuple[FieldInfo, Dict[str, Callable[..., Any]]]:
         """add a wrap validator to omit invalid values by default."""
         field_info.metadata = field_info.metadata or [] + [
             WrapValidator(ignore_invalid)
diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index b49998ba7..062719da9 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -506,7 +506,7 @@ def analyze_param(
         field_info.alias = alias
 
         # Omit by default for scalar mapping and scalar sequence mapping query fields
-        class_validators: dict[str, list[Any]] = {}
+        class_validators: Dict[str, Callable[..., Any]] = {}
         if isinstance(field_info, (params.Query, temp_pydantic_v1_params.Query)) and (
             field_annotation_is_scalar_sequence_mapping(use_annotation_from_field_info)
             or field_annotation_is_scalar_mapping(use_annotation_from_field_info)