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福州大学学报(自然科学版) 2015
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
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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