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In this paper, a nonsmooth multiobjective semidefinite and semi-infinite programming is investigated. By using tangential subdifferentials for the tangential convex functions defined on the space of symmetric matrices, we establish the necessary and sufficient optimality conditions for some kind of efficient solutions of the nonsmooth multiobjective semidefinite and semi-infinite programming.

Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective semidefinite and semi-infinite programming