  In this work, we propose integral global optimality conditions for
multiobjective problems not necessarily differentiable. The integral
characterization, already known for single objective problems, are extended to
multiobjective problems by weighted sum and Chebyshev weighted scalarizations.
Using this last scalarization, we propose an algorithm for obtaining an
approximation of the weak Pareto front whose effectiveness is illustrated by
solving a collection of multiobjective test problems.
