摘要
给出Hilbert空间中向量均衡问题的两个算法,利用非线性标量化函数将向量均衡问题化为数量均衡问题,证明了算法的收敛性.结果表明,如果向量均衡问题中的函数具有单调性、C-凸性和拟下半连续性,那么Hilbert空间中向量均衡问题的两个算法分别强收敛和弱收敛.
Two algorithms for a vector equilibrium problem in Hilbert spaces are introduced.The convergence of algorithms is proved by using the nonlinear scalarization function.It is indicated that one of the algorithms is strongly convergent and the other is weakly convergent if the function in the vector equilibrium problem possesses the monotonicity,C-convexity and quasi lower semicontinuity.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2010年第5期437-440,443,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(60574075)
安康学院项目(AYQDZR200629)
关键词
非线性标量化函数
向量均衡问题
迭代算法
nonlinear scalarization function
vector equilibrium problem
iterative algorithm
