Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.6.2022.1.01

Volume 6, Issue 1, 1 February 2022, Pages 1-15

 

Abstract. In this paper, we present the strong and total Lagrange dualities for quasiconvex programming in real locally convex Hausdorff topological vector spaces. By using the epigraphs, subdifferential and generators of involved functions, we introduce some new constraint qualifications. Under these new constraint qualifications, we establish sufficient and necessary conditions to characterize the strong and total Lagrange dualities for quasiconvex programming.

 

How to Cite this Article:
Donghui Fang, Ting Yang, Yeong-Cheng Liou, Strong and total Lagrange dualities for quasiconvex programming, J. Nonlinear Var. Anal. 6 (2022), 1-15.