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多值渐近Φ-半压缩型映象三步迭代集合序列的强收敛性 被引量：2

The Strong Convergence of Three-step Iterative Set Sequence for a Multivalued Asymptotically Φ-hemicontractive Type Mappings
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摘要 利用新的分析方法,在任意实Banach空间中证明了具(随机性)误差的三步迭代集合序列强收敛于多值渐近Φ-半压缩型映象的不动点集．得到一些新的结论． By properties of a new analytical method, it proves that the three-step iterative set sequence with （random） errors converges strongly to the fixed point set of a multivalued asymptotically φ-hemicontractive type mappings in an arbitrary Banach spaces. We obtain some new results in this paper.
作者 杨理平
机构地区 广东工业大学应用数学学院
出处 《应用数学学报》 CSCD 北大核心 2006年第3期555-566,共12页 Acta Mathematicae Applicatae Sinica
基金 广东省自然科学基金(020163号)资助项目~~
关键词 渐近φ-半压缩型映象 三步迭代集合序列 不动点集 BANACH空间 asymptotically φ-hemicontractive type mappings three-step iterative set sequence fixed point set Banach spaces
分类号 O177.91 [理学—基础数学]
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共引文献61

同被引文献29

  • 1曾六川.关于非Lipschitz的渐近伪压缩映象的迭代法的强收敛性[J].应用数学学报,2004,27(3):430-439. 被引量：6
  • 2肖建中,朱杏华.关于渐近拟非扩张算子不动点迭代逼近的注记[J].应用数学学报,2004,27(4):608-616. 被引量：11
  • 3王绍荣,熊明.Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题[J].应用数学学报,2007,30(1):69-75. 被引量：7
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应用数学学报
2006年 第3期

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