摘要
研究的均衡问题(EP)是指:找x∈C,使F(x,y)≥0,y∈C.文中构造了Hilbert空间中均衡问题解的迭代序列{xn}并证明了存在均衡解x~,使得{xn}弱收敛于x^(n→+∞),所得结果包含Moudafi的已有结果作为特殊情形.
The equilibrium problems which we called EP is to find x∈C such that F（x,y）≥0 for all y∈C. An iterative method for solving EP is studied and its convergence is established in this paper. We obtained for every sequence {xn } generated by our algorithms, there exists an x^-, which is a solution of EP such that {xn } converges to x weakly as x^-（n→＋∞）.
出处
《大学数学》
北大核心
2007年第2期51-55,共5页
College Mathematics
基金
the NST(2006kj051c)of Anhui Colleges and Universities the Subsidized Plan for Anhui Young Teachers in Advanced Schools(2005jq1132)
关键词
均衡
单调
上半连续
equilibrium problems
monotone
upper hemicontinuous
