Index: libcxx/include/__algorithm/ranges_minmax.h
===================================================================
--- libcxx/include/__algorithm/ranges_minmax.h
+++ libcxx/include/__algorithm/ranges_minmax.h
@@ -77,6 +77,14 @@
 
     if constexpr (forward_range<_Range>) {
       auto __result = std::__minmax_element_impl(__first, __last, __comp, __proj);
+      // We need to detect move_iterators (and similar types) to avoid dereferencing them more than once.
+      // The `if constexpr` is a pure optimization; we don't want an additional branch for normal iterators.
+      if constexpr (!is_lvalue_reference_v<range_reference_t<_Range>>) {
+        if (__result.first == __result.second) {
+          ranges::minmax_result<_ValueT> __found = {*__result.first, __found.min};
+          return __found;
+        }
+      }
       return {*__result.first, *__result.second};
     } else {
       // input_iterators can't be copied, so the implementation for input_iterators has to store
Index: libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.minmax.pass.cpp
===================================================================
--- libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.minmax.pass.cpp
+++ libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.minmax.pass.cpp
@@ -334,12 +334,43 @@
   return true;
 }
 
+class input_move_iterator {
+public:
+  using iterator_category = std::input_iterator_tag;
+  using iterator_concept  = std::input_iterator_tag;
+  using difference_type   = std::ptrdiff_t;
+  using value_type        = std::shared_ptr<int>;
+  using pointer           = std::shared_ptr<int>*;
+  using reference         = std::shared_ptr<int>&&;
+
+  input_move_iterator() = default;
+  explicit input_move_iterator(std::shared_ptr<int>* ptr) : m_ptr(ptr) {}
+
+  reference operator*() const { return std::ranges::iter_move(m_ptr); }
+  pointer operator->() const { return m_ptr; }
+
+  input_move_iterator& operator++() {
+    ++m_ptr;
+    return *this;
+  }
+  input_move_iterator operator++(int) {
+    input_move_iterator tmp = *this;
+    ++*this;
+    return tmp;
+  }
+
+  friend bool operator==(const input_move_iterator& a, const input_move_iterator& b) { return a.m_ptr == b.m_ptr; }
+
+private:
+  std::shared_ptr<int>* m_ptr{nullptr};
+};
+
 int main(int, char**) {
   test();
   static_assert(test());
 
   {
-    // check that the iterator isn't moved from multiple times
+    // check that the random access iterator isn't moved from multiple times
     std::shared_ptr<int> a[] = { std::make_shared<int>(42) };
     auto range = std::ranges::subrange(std::move_iterator(a), std::move_iterator(a + 1));
     auto [min, max] = std::ranges::minmax(range);
@@ -347,6 +378,15 @@
     assert(min != nullptr);
     assert(max == min);
   }
+  {
+    // check that the input iterator isn't moved from multiple times
+    std::shared_ptr<int> a[] = {std::make_shared<int>(42)};
+    auto range               = std::ranges::subrange(input_move_iterator(a), input_move_iterator(a + 1));
+    auto [min, max]          = std::ranges::minmax(range);
+    assert(a[0] == nullptr);
+    assert(min != nullptr);
+    assert(max == min);
+  }
 
   return 0;
 }