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Hilbert空间中均衡问题与渐近非扩张半群的迭代算法的强收敛性
Strong convergence of an iterative method for equilibrium problems and asymptotically nonexpansive semigroups in Hilbert space

DOI: 10.7631/issn.1000-2243.2015.04.0445

Keywords: Mann迭代格式 渐近非扩张半群 均衡问题 公共不动点
Mann iterative scheme asymptotically nonexpansive semigroups equilibrium problem common fixed point

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Abstract:

针对均衡问题和渐近非扩张算子半群的公共元问题,提出一个新的迭代算法,在合适的条件下,证明了由此迭代算法生成的序列的强收敛性定理.
We propose an iterative scheme for finding a common element of the solutions of an equilibrium problem and the fixed points of asymptotically nonexpansive semigroups. Under some appropriate conditions,we establish a strong convergence theorem of the sequence generated by our proposed scheme

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