中文摘要：

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.

英文摘要：

Under the conditions of naturally quasi C-convexity of -f（· , y, u）, 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.