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广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元的强收敛定理
Strong convergence theorems of an iterative method for a generalized equilibrium problem,a maximal monotone operator and total quasi-Φ-asymptotically nonexpansive semigroups

DOI: 10.7631/issn.1000-2243.2015.06.0733

Keywords: 极大单调算子 全局拟-Φ-渐近非扩张半群 广义均衡问题 公共不动点
maximal monotone operator total quasi-Φ-asymptotically nonexpansive semigroups generalized equilibrium problem common fixed point

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Abstract:

针对广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元,提出一个新的迭代算法,在适当的条件下,证明了由此迭代算法生成的序列的强收敛定理.
We propose an iterative scheme for finding a common element of the solutions of a generalized equilibrium problem,a maximal monotone operator and total quasi-Φ-asymptotically nonexpansive semigroups. Under some appropriate conditions,we establish some strong convergence theorems of the sequences generated by our proposed scheme

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