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Do Van Luu, Tran Thi Mai, Efficiency conditions for multiobjective bilevel programming problems via convexificators

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DOI: 10.23952/jnva.4.2020.3.05
Volume 4, Issue 3, 1 December 2020, Pages 399-414

 

Abstract. Fritz John necessary conditions for solutions of nonsmooth multiobjective bilevel programming problems involving inequality constraints in terms of convexificators are established. Karush-Kuhn-Tucker necessary efficiency conditions are derived under the constraint qualification (CQ). With assumptions on generalized convexity, necessary efficiency conditions become sufficient ones.

 

How to Cite this Article:
Do Van Luu, Tran Thi Mai, Efficiency conditions for multiobjective bilevel programming problems via convexificators, J. Nonlinear Var. Anal. 4 (2020), 399-414.