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关于一族有限ξ严格伪压缩映射不动点问题和平衡问题混合投影下的强收敛性

Strong Convergence Theorems for Solving Equilibrium Problems and Fixed Point Problems of a Finite Family of ξ-Strict Pseudo-Contraction Mappings by Two Hybrid Projection Methods
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摘要 为找到一族有限ξ严格伪压缩映射不动点集及平衡问题解集的公共元素,该文利用两种混合投影方法引入了一种迭代方案,且在给与参数适当的假设下,作者得到了两个强收敛性定理. In this paper, we introduce an iterative scheme by using the hybrid projection methods for finding a common element of the set solutions of an equilibrium problem and the set of fixed points of a finite family of ξ-strict pseudo-contraction mappings in Hilbert space. We obtain two strong convergence theorems under mild assumptions on parameters for the sequences generated by these processes.
作者 李娜 李军
机构地区 鲁东大学数学与信息学院 烟台职业学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2013年第1期114-122,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(11001116) 山东省中青年科学家科研奖励基金(BS2010SF006)资助
关键词 ξ严格伪压缩映射 不动点问题 平衡 混合投影方法 ξ-strict pseudo-contraction mappings Fixed point problems Equilibrium Hybrid projection methods.
分类号 O241.5 [理学—计算数学]
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参考文献25

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数学物理学报（A辑）
2013年 第1期

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