We consider the natural generalizations of blocking and antiblocking polyhedra in infinite dimensions, and study issues related to duality and integrality of extreme points for these sets. Using appropriate finite truncations we give conditions under which complementary slackness holds for primal-dual pairs of the infinite linear programming problems associated with infinite blocking and anti-b...

We investigate optimality conditions for a nonsmooth multiobjective semi-infinite programming problem subject to switching constraints. In particular, we employ surrogate and suitable constraint qualification state necessary M-stationary in terms of tangential subdifferentials. An example is given at the end illustrate our main result.