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doi: 10.3934/jimo.2021019
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Optimality conditions of fenchel-lagrange duality and farkas-type results for composite dc infinite programs

 1 Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China 2 Department of Information Technology, Zhejiang Institute of Mechanical & Electrical Engineering, Hangzhou 310053, China

*Corresponding author

Received  May 2020 Revised  December 2020 Early access January 2021

Fund Project: This work was supported by the Natural Science Foundation of China (11401533), the Zhejiang Provincial Natural Science Foundation of China (LY18A010030), the Scientific Research Fund of Zhejiang Provincial Education Department (19060042-F) and the Science Foundation of Zhejiang Sci-Tech University (19062150-Y)

This paper is concerned with a DC composite programs with infinite DC inequalities constraints. Without any topological assumptions and generalized increasing property, we first construct some new regularity conditions by virtue of the epigraph technique. Then we give some complete characterizations of the (stable) Fenchel-Lagrange duality and the (stable) Farkas-type assertions. As applications, corresponding assertions for the DC programs with infinite inequality constraints and the conic programs with DC composite function are also given.

Citation: Gang Li, Yinghong Xu, Zhenhua Qin. Optimality conditions of fenchel-lagrange duality and farkas-type results for composite dc infinite programs. Journal of Industrial & Management Optimization, doi: 10.3934/jimo.2021019
References:

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