Donghui Fang, Jiaolang Wang, Xianyun Wang, Ching-Feng Wen, Optimality conditions of quasi $(\alpha,\varepsilon)$-solutions and approximate mixed type duality for DC composite optimization problems

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DOI: 10.23952/jnva.7.2023.1.08

Volume 7, Issue 1, 1 February 2023, Pages 129-143

Abstract. This paper is devoted to the approximate optimality condition and mixed type duality for DC composite optimization problems in locally convex Hausdorff topological vector spaces. By using the properties of the Fréchet subdifferential, a new constraint qualification is introduced. Under this constraint qualification, some approximate optimality conditions of the quasi $(\alpha,\varepsilon)$ -optimal solution for DC compose optimization problem and associated mixed type duality theorems are established, which extend and improve the corresponding results in the previous papers.

How to Cite this Article:
D. Fang, J. Wang, X. Wang, C.F. Wen, Optimality conditions of quasi $(\alpha,\varepsilon)$ -solutions and approximate mixed type duality for DC composite optimization problems, J. Nonlinear Var. Anal. 7 (2023), 129-143.