Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds
Journal of Nonlinear Functional Analysis · 2021
In this paper, we explore the semi-infinite programming on smooth manifolds.We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems.Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the ϕ -1 -convexity assumption.