In this paper, a class of E-differentiable multiobjective programming problems
with both inequality and equality constraints is considered. The so-called vector mixed
E-dual problem is defined for the considered E-differentiable multiobjective programming
problem with both inequality and equality constraints. Then, several mixed E-duality
theorems are established under (generalized) E-convexity hypotheses. Further, so-called
vector Mond-Weir E-dual and vector Wolfe E-dual problems are also defined for the
considered E-differentiable multiobjective programming problem as special cases of its
vector mixed E-dual problem