In this thesis, the generalized convexity and their applications in optimization problems such as extremum problems, dual problems, Hahn-Banach theorems and system of vector quasi-equilibrium problems etc.

• 本文研究广义凸性及其在极值问题、对偶问题、Hahn-Banach定理和向量拟平衡系统问题等最优化问题中的一些应用。