In this research we study some types of limited sets
and operators on non-archimedean locally convex spaces. We generate the
concept of limited spaces into λ-limited spaces and study the relation
between λ-limited spaces and λ-semiMontel spaces. We show that
the non-archimedean locally convex space E is λ-limited space if
and only if E is a space of type (Sλ).