foo and bar are both lambdas and closures. A named lambda is still a lambda.

  foo = function (x) { return x + 1; }

is identical to

  function foo (x) { return x + 1; }

They are also closures. Since they don't refer to any outer variables, they are closures containing zero context variables. If foo were to refer to some other variable, the closure would contain one context variable.

The only reason to distinguish between lambdas and closures is because some languages do not support closures (e.g. early versions of Emacs Lisp). Attempting to refer to other variables would always refer to a global variable with that name.