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广义共轭框架下约束复合优化的逆对偶

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在可分离局部凸拓扑空间上,主要研究目标函数带有连续线性映射复合的约束优化问题.借助c-共轭模式和扰动法,得到了该约束复合优化的 3 个对偶问题,并且结合扰动函数的均匀凸性,具体给出了逆对偶成立的充分条件.
Converse Duality for Constrained Composed Optimization via a Generalized Conjugation Scheme
In separated locally convex topological spaces,the general constrained optimization problem owing the composition with a linear continuous mapping in the objective function is mainly studies.By means of a coupling conjugation scheme and the perturbational approach,three dual problems of the constrained composed optimization are obtained,and sufficient conditions for converse duality involving the even convexity of the perturbation function are specifically given.

evenly convex functionc-conjugationconverse dualityconstrained composed optimization

陈星、游曼雪

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西华师范大学 数学与信息学院,四川 南充 637009

均匀凸函数 c-共轭 逆对偶 约束复合优化

国家自然科学基金西华师范大学项目西华师范大学项目

1200143818Q05919B043

2024

韶关学院学报
韶关学院

韶关学院学报

影响因子:0.28
ISSN:1007-5348
年,卷(期):2024.45(3)
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