  In this paper, in the absence of any constraint qualifications, we develop
sequential necessary and sufficient optimality conditions for a constrained
multiobjective fractional programming problem characterizing a Henig proper
efficient solution in terms of the $\epsilon$-subdifferentials and the
subdifferentials of the functions. This is achieved by employing a sequential
Henig subdifferential calculus rule of the sums of $m \ (m\geq 2)$ proper
convex vector valued mappings with a composition of two convex vector valued
mappings. In order to present an example illustrating the main results of this
paper, we establish the classical optimality conditions under
Moreau-Rockafellar qualification condition. Our main results are presented in
the setting of reflexive Banach space in order to avoid the use of nets.
