向量（多目标）优化、最优化理论与方法

多目标优化算法【当前研究方向】

（1）向量值和集值优化问题的最优性条件与对偶理论

（2）向量变分不等式和向量平衡问题的稳定性分析

（3）不确定多目标优化问题的鲁棒性分析

（4）多目标和向量值优化的梯度下降型算法（当前兴趣）

近期发表论文：

[1] Q.R. He, C.R. Chen*, S.J. Li: Spectral conjugate gradient methods for vector optimization problems. Computational Optimization and Applications, 86(2): 457-489, 2023. https://doi.org/10.1007/s10589-023-00508-w

[2] B.Y. Zhang, Q.R. He, C.R. Chen*, S.J. Li, M.H. Li: The Dai-Liao-type conjugate gradient methods for solving vector optimization problems. Optimization Methods and Software, 2024. https://doi.org/10.1080/10556788.2024.2380697

[3] Q.R. He, S.J. Li, B.Y. Zhang, C.R. Chen*: A family of conjugate gradient methods with guaranteed positiveness and descent for vector optimization. Computational Optimization and Applications, 2024. https://doi.org/10.1007/s10589-024-00609-0