广义向量拟均衡问题的强解  

Strong Solutions of Generalized Vector Quasl-Equilibrium Problems

作　　者：蔡国华[1] 茅青海[1] 傅俊义[2,3] 

机构地区：[1]彖华理工大学数学与信息科学学院,江西南昌330013 [2]南昌大学数学系,江西南昌330031 [3]南昌大学科技学院,江西南昌330029

出　　处：《南昌大学学报（理科版）》2010年第6期541-544,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11061023)

摘　　要：向量均衡问题的强解,是一种理想的解,它比向量均衡问题的其他解,例如弱有效解、有效解、Henig有效解等,都更好。利用推广的Fan-KKM定理,在较弱的锥连续性条件下,得到一类广义向量拟均衡问题的强解。作为应用,得到一类广义向量似变分不等式的强解与数值广义拟均衡问题的解。The strong solution of vector equilibrium problem is better than the other solutions of vector equilibrium problem,for example,the weak efficient solution,the efficient solution and Henig efficient solution.By using the generalized Fan-KKM theorem and cone continuity of vector-valued mapping,strong solutions of generalized vector quasi-equilibrium problems are obtained in this paper.As applications,strong solutions of generalized vector variational-like inequalities and scalar generalized quasi-equilibrium problems are derived.

关 键 词：广义向量拟均衡问题 广义向量似变分不等式 强解 Fan-KKM定理 锥连续 

分 类 号：O177.92[理学—数学]