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Hilbert空间中均衡问题的迭代解

         

摘要

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 n→+∞.%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.

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