Optimality conditions for Henig efficient and superefficient solutions of vector equilibrium problems
Journal of Nonlinear Functional Analysis · 2018
Kuhn-Tucker necessary conditions for local Henig efficient and superefficient solutions of vector equilibrium problems involving equality, inequality and set constraints with locally Lipschitz functions are derived under the constraint qualification of Abadie type via the Michel-Penot subdifferentials.Under assumptions on the generalized convexity, Kuhn-Tucker necessary conditions for Henig efficiency and superefficiency become sufficient optimality conditions.Some applications to vector variational inequality and vector optimization problems are also given.