A MODIFIED CQ METHOD FOR EQUILIBRIUM PROBLEMS, FIXED POINTS AND VARIATIONAL INEQUALITY

A MODIFIED CQ METHOD FOR EQUILIBRIUM PROBLEMS, FIXED POINTS AND VARIATIONAL INEQUALITY
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发表时间：
2008
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通讯作者：
Jian-Wen Peng;J. Yao
Jian-Wen Peng;J. Yao
中科院分区：
其他
文献类型：
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作者：
Jian-Wen Peng;J. Yao

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本文在Hilbert空间中引入了一个修正的CQ迭代格式，用于寻找平衡问题的解集、非扩张映象无限族的不动点集和α-逆强单调映象的变分不等式集的公共元.我们得到了由这个过程产生的三个序列的强收敛定理。在此基础上，我们还得到了几个新的有趣的结果，推广和扩展了文献中的一些著名的强收敛定理。
In this paper, we introduce a modified CQ iterative scheme for finding a common element of the set of solutions of an equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of the variational inequality for an α-inverse strongly monotone mapping in a Hilbert space. We obtain a strong convergence theorem for three sequences generated by this process. Based on this result, we also get several new and interesting results which generalize and extend some well-known strong convergence theorems in the literature.