均匀凸优化问题的最优性条件和 Lagrange 全对偶

Abstract

Abstract:

In this paper, we study an evenly convex optimization problem with the objective function and constraint functions being proper evenly convex. By using the concept of c-subdifferential, we introduce some new notions of constraint qualifications. Under those new constraint qualifications, we provide necessary and sufficient conditions for the KKT rules to hold. Similarly, we provide characterizations for the evenly convex optimization problem to have total Lagrangian dualities and stable total Lagrangian dualities.

Key words: evenly convex optimization problem, Lagrange duality, optimality condition, total duality

CLC Number:

O221.2

Chen Hongye, Fang Donghui, Wu Kexing. Optimality Conditions and Total Lagrange Dualities for Evenly Convex Optimization Problems[J].Acta mathematica scientia,Series A, 2025, 45(4): 1255-1267.

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References

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Optimality Conditions and Total Lagrange Dualities for Evenly Convex Optimization Problems

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