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广义平衡问题与无限族k-严格伪压缩映象的强收敛定理

Keywords: k-严格伪压缩映象,广义平衡问题,黏性逼近方法,连续单调映象

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Abstract:

在Hilbert空间中,大多数学者对平衡问题、非扩张映象不动点的问题做了广泛研究.在Hilbert空间的框架下,讨论了广义平衡问题的解集与无限族k-严格伪压缩映象公共不动点集公解的问题,给出了一个新的迭代序列,并在适当的条件下,用黏性逼近的方法,证明了一些强收敛定理.结果也推广和改进了最近一些人的主要结果.

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