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渐进非扩张映射混合迭代序列的均衡问题和不动点问题
Hybrid iteration method for equilibrium problems and fixed point problems of asymptotically nonexpansive mappings

DOI: 10.7631/issn.1000-2243.2016.05.0621

Keywords: 均衡问题 不动点问题 混合迭代 渐进非扩张映射 Hilbert空间
equilibrium problems fixed point problems hybrid nonexpansive mappings Hilbert spaceiteration asymptotically

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Abstract:

使用混合投影方法,引入一种新的迭代算法,在Hilbert空间中寻找均衡问题的解集和渐进非扩张映射的不动点集的公共点. 在一定条件下,得出了弱收敛和强收敛定理.
We introduce an new iterative scheme by using the hybrid projection methods for finding a common element of the set of solutions of an equilibrium problems and the set of fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. Under some conditions,weakly and strongly convergence theorem are obtained in Hilbert spaces

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