Saddle Point Criteria for Semidefinite Semi-Infinite Convex Multiobjective Optimization Problems

Abstract

In this paper, we consider nonlinear semidenite semi-innite convex multiobjective optimization problem where feasible set is determined by equality and inequality constraints. We establish saddle point necessary and sucient optimality condition under some constraint qualication. We establish Karush-Kuhn-Tucker optimality conditions using saddle point optimality conditions for dierentiable case and construct some examples to illustrate our results.