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Lagrange dualities for DC infinite optimization problems
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DOI：10.1080/02331934.2025.2579724.png)
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In the present paper, we study the Lagrange dualities of the DC infinite optimization problems. By using the properties of the epigraph of the conjugate functions, we provide characterizations for the DC infinite optimization problem to have the stable weak Lagrange dualities and the stable Lagrange dualities. Applications to DC semi-infinite programming, DC conic programming and convex infinite programming are given.
Keyword:
Weak Lagrange duality
Lagrange duality
DC infinite programming
期刊
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1.8
论文数:
124
被引数:
0
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Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programsDC和 bilevel 无限及半无限规划的价值函数的次微分与最优性条件
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