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平衡问题和拟?-渐近非扩张映像的强收敛定理

Strong Convergence Theorems for Equilibrium Problems and Quasi ?-asymptotically Nonexpansive Mappings
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摘要 在自反、严格凸、光滑的Banach空间中,设计了一种修正的混合投影迭代算法用来构造平衡问题与拟φ渐近非扩张映像的不动点问题的公共元,并利用广义投影算子和K-K性质证明了此迭代算法生成的序列强收敛于这两个问题的公共元.所得结果是近期相关结果的改进和推广. A modified hybrid projection iterative algorithm was introduced for finding a common element of the set of solutions of an equilibrium problem and the set of fixed point of a quasi(?)-asymptotically nonexpansive mappings in a reflexive、strictly convex and smooth Banach space.The strong convergence theorems are proved by using generalized projection operator and the K-K property.The results of this paper improve and extend recent some relative results.
作者 朱寿国
机构地区 南京师范大学泰州学院
出处 《应用泛函分析学报》 CSCD 2013年第4期367-374,共8页 Acta Analysis Functionalis Applicata
基金 南京师范大学泰州学院数学分析精品课程项目(141220160314)
关键词 拟φ-渐近非扩张映像 平衡问题 修正的混合投影迭代算法 quasi Φ-asymptotically nonexpansive mapping equilibrium problem modified hybrid projection iterative algorithm
分类号 O177.91 [理学—基础数学]
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参考文献10

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二级参考文献30

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共引文献29

应用泛函分析学报
2013年 第4期

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