广义强向量拟平衡问题解的存在性和Hadamard适定性

首先，在映射－f(·,y,u)自然拟C-凸和映射f上半(－C)-连续的条件下，构造一个重要辅助函数，利用不同的证明方法，在不要求C*具有弱*紧基的情况下，建立了广义强向量拟平衡问题解的存在性定理.然后在适当条件下，给出问题序列收敛的定义，建立解集映射的上半连续性，并讨论广义强向量拟平衡问题的Hadamard适定性，得到广义强向量拟平衡问题的Hadamard适定性成立的充分条件.

Existence and Hadamard Well-Posedness of Solutions to Generalized Strong Vector Quasi-Equilibrium Problems

Under the conditions of naturally quasi C-convexity of -f(·,y,u) and upper (-C)-continuity of f, an auxiliary function was constructed and an existence theorem for solutions to generalized strong vector quasi-equilibrium problems (for short, GSVQEPs) was established based on a method of proof other than the traditional ones, without the assumption that the dual of the ordering cone has a weak* compact base. Moreover, a definition of problem sequence convergence was given and the upper semi-continuity of solution set mappings was obtained under some proper conditions. Based on these results, a concept of Hadamard-type well-posedness for GSVQEPs was introduced and the sufficient conditions for that Hadamard well-posedness was proposed.