A set \(A\) in a topological space \(X\) is called a \(\Lambda\)-set if it is the intersection of all its open supersets. A set which is the intersection of a \(\Lambda\)-set and a closed set is called \(\lambda\)-closed. The class of contra \(\lambda\)-continuous functions (the preimage of each open set is \(\lambda\)-closed) is introduced and several properties of these functions are investigated.