一、个人基本情况

廖甲根，男，汉族, 1991年1月出生于湖北省宜昌市，讲师。2022年6月博士毕业于武汉大学。主要研究方向为最优化理论与方法，包括凸规划、双层规划、黎曼优化和双层变分不等式。承担本科生《数值分析及实验》、《线性代数》以及研究生《数值分析》等课程。

二、科研

1、科研项目

1. 参与国家自然科学基金项目(11871383)：双层优化问题的某些机理分析及相关求解策略研究，2019.01-2022.12.

2. 参与国家自然科学基金项目(71471140)：云市场下云服务商与终端用户间利益均衡的优化模型与算法研究. 2015.01-2018.12.

3. 主持三峡大学人才科研启动基金项目：黎曼流形上双层规划的理论和算法研究. 2023.07-2026.07.

2、代表性论文

1. Zhou Y, Liao J(廖甲根), Du T. The weighted parameterized inequalities in relation to twice differentiable mappings in the fractal domains along with some applications. Fractals, 2023, 31(07): 2350092.

2. Liao J(廖甲根), Wan Z. On the Karush-Kuhn-Tucker reformulation of the bilevel optimization problems on Riemannian manifolds. Filomat, 2022, 36(11): 3609-3624.

3. Liao J(廖甲根), Wan Z. Inexact Restoration Methods for Semivectorial Bilevel Programming Problem on Riemannian Manifolds. Axioms, 2022, 11(12): 696.

4. Liao J(廖甲根), Wu S, Du T. The Sugeno integral with respect to α-preinvex functions. Fuzzy sets and systems, 2020, 379: 102-114.

5. Du T S, Ke X T, Liao J(廖甲根), et al. DSLC-FOA: Improved fruit fly optimization algorithm for application to structural engineering design optimization problems. Applied Mathematical Modelling, 2018, 55: 314-339.

6. Yu B, Liao J(廖甲根), Du T. Optimality and Duality with Respect to b-(ℰ, m)-Convex Programming. Symmetry, 2018, 10(12): 774.

7. Du T S, Liao J(廖甲根), Li Y J. Properties and integral inequalities of Hadamard-Simpson type for the generalized (s, m)-preinvex functions. J. Nonlinear Sci. Appl, 2016, 9(5): 3112-3126.

8. Du T S, Liao J(廖甲根), Chen L Z, et al. Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized (α,m)-preinvex functions. Journal of Inequalities and Applications, 2016, 2016: 1-24.

9. Liao J(廖甲根), Du T S. Optimality conditions in sub-(b, m)-convex programming. Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys, 2017, 79(2): 95-106.

10. Liao J(廖甲根), Du T. On Some Characterizations of Sub-b-s-Convex Functions. Filomat, 2016, 30(14): 3885-3895.

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