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关于均衡问题与K-严格伪非伸展映像不动点公共元一种迭代算法
引用本文:周建婷,黄建华.关于均衡问题与K-严格伪非伸展映像不动点公共元一种迭代算法[J].福州大学学报(自然科学版),2016,44(3).
作者姓名:周建婷  黄建华
作者单位:福州大学数学与计算机科学学院,福州,福建,350108,福州大学数学与计算机科学学院,福州,福建,350108
摘    要:引入一种新的迭代算法,求解均衡问题与k-严格伪非伸展映像不动点集的公共元,和混合均衡问题与k-严格伪非伸展映像不动点的公共元.

关 键 词:均衡问题  混合均衡问题  k-严格伪非伸展映像  强收敛定理

The methods for equilibrium problem and fixed point of k-strictly pseudononspreading mapping
ZHOU Jianting and HUANG Jian-hua.The methods for equilibrium problem and fixed point of k-strictly pseudononspreading mapping[J].Journal of Fuzhou University(Natural Science Edition),2016,44(3).
Authors:ZHOU Jianting and HUANG Jian-hua
Institution:College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China and College of Mathematics and Computer Science, Fuzhou University,Fuzhou, Fujian 350108, China
Abstract:The purpose of this paper is to introduce a method for computing a common element of the set of solutions of equilibrium problem and the set of fixed points of k-strictly pseudononspreading mapping. The strong convergence theorem of the proposed method is constructed. Moreover, we extend our result to the strong convergence theorem of the proposed method for computing a common element of the set of mixed equilibrium problem and the set of fixed points of k-strictly pseudononspreading mapping.
Keywords:equilibrium problem  mixed equilibrium problem  k-strictly pseudononspreading mapping  strong convergence theorem
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