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Lagrange dualities for DC infinite optimization problems

delete2025-10-01
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PRE
AI
J
Jinhao Bao
F
Fang Duo
C
Chong Li *
W
Wei Shen *
J
J. H. Wang
DOI:10.1080/02331934.2025.2579724delete
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Abstract

Abstract

En 中文
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.
Keywords:
Weak Lagrange duality
Lagrange duality
DC infinite programming

Journal

O
Optimization
IF:
1.8
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121
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0

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