摘要: |
在Hilbert空间中, 建立了一个逼近平衡问题数值解的广义迭代方法, 并在一定条件下证明了该方法所产生的序列强收敛到平衡问题的解, 该强收敛解同时为一类变分不等式问题的解. |
关键词: 平衡问题 不动点方法 强正算子 变分不等式 |
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Approximate Methods and Strong Convergence on Equilibrium Problems |
LUO Guang yao1, GONG Qian fen2
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Abstract: |
In Hilbert space, a general iterative method of a numerical solution to approximate equilibrium problems is set up. The solution to the problems from strong convergence of the sequence to equilibrium generated by this method is proved under certain condition, and this solution to strong convergence is simultaneously the solution to a class of variational inequalities. |
Key words: equilibrium problem fixed point method strong positive operator variational inequality |