diff --git a/docs/md/entity.md b/docs/md/entity.md
index 52f354fa9..f27bfebb9 100644
--- a/docs/md/entity.md
+++ b/docs/md/entity.md
@@ -186,13 +186,13 @@ registry.destroy(entity);
 
 The `create` member function has also an overload that accepts two iterators and
 can be used to generate multiple entities at once efficiently. Similarly, the
-`destroy_each` member function works with a range of entities and destroys them
+`destroy` member function works also with a range of entities and destroys them
 all:
 
 ```cpp
 // destroys all the entities in a range
 auto view = registry.view<a_component, another_component>();
-registry.destroy_each(view.begin(), view.end());
+registry.destroy(view.begin(), view.end());
 ```
 
 In both cases, the `create` member function accepts also a list of default
@@ -236,8 +236,8 @@ vel.dx = 0.;
 vel.dy = 0.;
 ```
 
-Similarly, the `assign_each` member function template accepts two iterators,
-that is a range of entities to which to assign a component.
+This function is overloaded and can receive also a couple of iterators to be
+used to assign the same component to multiple entities at once.
 
 If an entity already has the given component, the `replace` member function
 template can be used to replace it:
@@ -689,8 +689,8 @@ applied to different containers.
 
 Once there are multiple registries available, however, one or more methods are
 needed to transfer information from one container to another. This results in
-the `stomp` and `stomp_each` member functions, other than a couple of overloads
-of the `create` member function for the `registry` class .<br/>
+the `stomp` member functions and a couple of overloads of the `create` member
+function for the `registry` class .<br/>
 These functions allow to take one entity from a registry and use it to _stomp_
 one or more entities in another registry (or even the same, actually making
 local copies). On the other hand, the overloads of the `create` member function
diff --git a/src/entt/entity/registry.hpp b/src/entt/entity/registry.hpp
index a9431c164..c75a2cb92 100644
--- a/src/entt/entity/registry.hpp
+++ b/src/entt/entity/registry.hpp
@@ -650,7 +650,7 @@ public:
         create(first, last);
 
         if constexpr(sizeof...(Component) == 0) {
-            stomp_each<Component...>(first, last, src, other, exclude<Exclude...>);
+            stomp<Component...>(first, last, src, other, exclude<Exclude...>);
         } else {
             static_assert(sizeof...(Exclude) == 0);
             (assure<Component>()->batch(*this, first, last, other.get<Component>(src)), ...);
@@ -703,7 +703,7 @@ public:
      * @param last An iterator past the last element of the range to destroy.
      */
     template<typename It>
-    void destroy_each(It first, It last) {
+    void destroy(It first, It last) {
         // useless this-> used to suppress a warning with clang
         std::for_each(first, last, [this](const auto entity) { this->destroy(entity); });
     }
@@ -748,7 +748,8 @@ public:
      * @return An iterator to the list of components just created.
      */
     template<typename Component, typename It, typename... Args>
-    auto assign_each(It first, It last, Args &&... args) {
+    std::enable_if_t<!std::is_same_v<It, entity_type>, std::reverse_iterator<typename pool_type<Component>::iterator_type>>
+    assign(It first, It last, Args &&... args) {
         ENTT_ASSERT(std::all_of(first, last, [this](const auto entity) { return valid(entity); }));
         return std::make_reverse_iterator(assure<Component>()->batch(*this, first, last, std::forward<Args>(args)...) + std::distance(first, last));
     }
@@ -1639,7 +1640,7 @@ public:
     template<typename... Component, typename... Exclude>
     void stomp(const entity_type dst, const entity_type src, const basic_registry &other, exclude_t<Exclude...> = {}) {
         const entity_type entt[1]{dst};
-        stomp_each<Component...>(std::begin(entt), std::end(entt), src, other, exclude<Exclude...>);
+        stomp<Component...>(std::begin(entt), std::end(entt), src, other, exclude<Exclude...>);
     }
 
     /**
@@ -1656,7 +1657,7 @@ public:
      * @param other The registry that owns the source entity.
      */
     template<typename... Component, typename It, typename... Exclude>
-    void stomp_each(It first, It last, const entity_type src, const basic_registry &other, exclude_t<Exclude...> = {}) {
+    void stomp(It first, It last, const entity_type src, const basic_registry &other, exclude_t<Exclude...> = {}) {
         static_assert(sizeof...(Component) == 0 || sizeof...(Exclude) == 0);
 
         for(auto pos = other.pools.size(); pos; --pos) {
diff --git a/test/entt/entity/registry.cpp b/test/entt/entity/registry.cpp
index 2fdf2f020..51912bb70 100644
--- a/test/entt/entity/registry.cpp
+++ b/test/entt/entity/registry.cpp
@@ -1046,7 +1046,7 @@ TEST(Registry, RangeDestroy) {
 
     {
         const auto view = registry.view<int, char>();
-        registry.destroy_each(view.begin(), view.end());
+        registry.destroy(view.begin(), view.end());
     }
 
     ASSERT_FALSE(registry.valid(e0));
@@ -1055,7 +1055,7 @@ TEST(Registry, RangeDestroy) {
 
     {
         const auto view = registry.view<int>();
-        registry.destroy_each(view.begin(), view.end());
+        registry.destroy(view.begin(), view.end());
     }
 
     ASSERT_FALSE(registry.valid(e0));
@@ -1084,7 +1084,7 @@ TEST(Registry, RangeAssign) {
     ASSERT_FALSE(registry.has<float>(e2));
 
     const auto view = registry.view<int, char>();
-    auto it = registry.assign_each<float>(view.begin(), view.end());
+    auto it = registry.assign<float>(view.begin(), view.end());
 
     ASSERT_TRUE(registry.has<float>(e0));
     ASSERT_TRUE(registry.has<float>(e1));
@@ -1571,7 +1571,7 @@ TEST(Registry, StompMulti) {
 
     entt::entity entities[2];
     registry.create(std::begin(entities), std::end(entities));
-    registry.stomp_each<int, char, double>(std::begin(entities), std::end(entities), prototype, registry);
+    registry.stomp<int, char, double>(std::begin(entities), std::end(entities), prototype, registry);
 
     ASSERT_TRUE((registry.has<int, char>(entities[0])));
     ASSERT_TRUE((registry.has<int, char>(entities[1])));
@@ -1588,7 +1588,7 @@ TEST(Registry, StompExcludeMulti) {
 
     entt::entity entities[2];
     registry.create(std::begin(entities), std::end(entities));
-    registry.stomp_each(std::begin(entities), std::end(entities), prototype, registry, entt::exclude<char>);
+    registry.stomp(std::begin(entities), std::end(entities), prototype, registry, entt::exclude<char>);
 
     ASSERT_TRUE((registry.has<int>(entities[0])));
     ASSERT_TRUE((registry.has<int>(entities[1])));