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

Sequential Henig proper optimality conditions for multiobjective fractional programming problems via sequential proper subdifferential calculus