对称的广义强向量拟均衡问题的Levitin-Polyak适定性（英文）

Levitin-Polyak Well-Posedness of Symmetric Generalized StrongVector Quasi-Equilibrium Problems

首先引入了对称广义强向量拟均衡问题的广义Levitin-Polyak适定性的概念以及集值映射的真拟凸性的概念.然后利用Kakutani-Fan-Glicksberg不动点定理,得到了对称广义强向量拟均衡问题解的存在性,并证明了对称广义强向量拟均衡问题是广义Levitin-Polyak适定的,最后举例说明了主要定理的条件是容易满足的.

The concept of generalized Levitin-Polyak well-posedness for symmetric generalized strong vector quasi-equilibrium problem and properly quasi-convexity for set-valued mappings are introduced.By means of Kakutani-Fan-Glicksberg＇s fixed point theorem,the existence of solutions to this problem is obtained.Meanwhile,the proof of symmetric generalized strong vector quasi-equilibrium problem is generalized Levitin-Polyak wellposedness is done.Finally,the examples to show the conditions required by the main theorem are easily found are given.