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非扩张映射混合迭代序列的均衡问题和不动点问题
引用本文:沈金良.非扩张映射混合迭代序列的均衡问题和不动点问题[J].闽江学院学报,2012,33(5):5-10.
作者姓名:沈金良
作者单位:福州大学至诚学院,福建福州,350002
摘    要:使用混合投影方法引入了一种迭代算法在Hilbert空间中寻找均衡问题的解和非扩张映射的不动点.并且在一定条件下,得出了弱收敛和强收敛定理.

关 键 词:均衡问题  不动点问题  混合迭代  Hilbert空间

Hybrid iteration method of nonexpansive mappings of equilibrium problem and fixed point problems
SHEN Jin-liang.Hybrid iteration method of nonexpansive mappings of equilibrium problem and fixed point problems[J].Journal of Minjiang University,2012,33(5):5-10.
Authors:SHEN Jin-liang
Institution:SHEN Jin-liang(Zhicheng College,Fuzhou University,Fuzhou,Fujian 350002,China;)
Abstract:In this paper,we introduce an iterative scheme by using the hybrid projection methods for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert spaces.Under some conditions,weakly and strongly convergence theorem are obtained in Hilbert spaces.
Keywords:equilibrium problem  fixed point problems  hybrid iteration  Hilbert space
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