Vector Optimization Involving Preinvex Functions in Banach Spaces
2009
In this paper, we deal with a vector optimization problem where all functions involved are preinvex functions between Banach spaces. Based upon the properties of a lagrangian mapping and convex cones, the saddle point conditions and duality theorems are proposed. Finally, the relationship between a vector variational inequality and an unconstraint vector optimization problem is discussed. The results deepen and enrich the content of optimization theory and applications.
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