Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
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DOI：
10.1007/s11590-011-0438-4
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发表时间：
2013-03
影响因子：
1.6
通讯作者：
M. Eslamian
中科院分区：
文献类型：
--
作者：
M. Eslamian
本文在Hilbert空间中引入了一些新的迭代序列，用于寻找平衡问题的解集与有限族非扩张集值映射和有限族非扩张集值映射的公共不动点集的公共元.我们建立了一些弱收敛和强收敛定理的序列所产生的迭代过程。所得结果推广和改进了最近的一些已知结果。
In this paper, we introduce some new iterative sequences for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of nonspreading mappings and a finite family of nonexpansive multivalued mappings in Hilbert space. We establish some weak and strong convergence theorems of the sequences generated by our iterative process. The results obtained in this paper extend and improve some recent known results.