带不等式约束的DC型切向凸优化问题的混合型对偶
Mixed-Type Duality for DC-Type Tangentially Convex Optimization Problems with Inequality Constraints
摘要: 本文研究了带不等式约束的DC型切向凸优化问题的混合型对偶。首先利用约束规范条件建立了混合型对偶模型。其次，利用伪凸函数的性质建立了带不等式约束的DC型切向凸优化问题的弱对偶定理、强对偶定理和逆对偶定理。并且推广了前人已有的结论。
Abstract: In this paper, we study mixed-type duality for DC-type tangentially convex optimization problems with inequality constraints. Firstly, we introduce constraint qualification conditions to establish a mixed-type dual model. Subsequently, leveraging properties of pseudoconvex functions, we derive weak duality, strong duality, and converse duality theorems for the proposed optimization problem. Furthermore, our results generalize and extend existing conclusions from prior studies.
文章引用：雷振. 带不等式约束的DC型切向凸优化问题的混合型对偶[J]. 应用数学进展, 2025, 14(3): 373-381. https://doi.org/10.12677/aam.2025.143125

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