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Received December 12, 2017; Accepted May 1, 2018; Published May 12, 2018
Abstract. 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.
How to Cite this Article:
Do Van Luu, Tran Thi Mai, Optimality conditions for Henig efficient and superefficient solutions of vector equilibrium problems, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 18, pp. 1-18.