Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators

This paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC) and the corresponding Wolfe-type dual under the assumption of partial derivative*-convexity. Second, we formulate Mond-Weir-type dual problem and propose duality results between the (ISOPEC) and the corresponding Mond-Weir-type dual under the assumption of partial derivative*-convexity, partial derivative*-pseudoconvexity, and partial derivative*-quasiconvexity.