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凸度量空间中非扩张映象的不动点迭代 被引量：4

Fixed Point Iteration for Nonexpansive Mappings in Convex Metric Spaces
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摘要 在完备凸度量空间内对非扩张映射引入逼近不动点的新的迭代算法,利用非负实数序列的一个不等式,在适当假设下,证明了所引入的迭代序列收敛于非扩张映射的不动点. The purpose is to prove a novel inequality on sequence and some sufficient and necessary conditions on the strong convergence of a new iterative process for nonexpansive mappings in convex metric spaces.
作者 刘奇飞 邓磊
机构地区 湖南人文科技学院数学与应用数学系 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第8期120-122,共3页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771173)
关键词 不动点迭代 凸度量空间 非扩张映象 fixed point iteration convex metric space nonexpansive mapping
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献7

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二级参考文献16

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共引文献22

同被引文献25

  • 1王丹萍,刘玉波.锥超度量空间的不动点理论[J].应用泛函分析学报,2013,15(1):38-41. 被引量：3
  • 2王文霞,梁展东.一类非线性算子的不动点定理及其应用[J].数学学报（中文版）,2005,48(4):789-800. 被引量：28
  • 3张宪.序压缩映射的不动点定理[J].数学学报（中文版）,2005,48(5):973-978. 被引量：40
  • 4刘建军,邓磊.凸度量空间中非扩张映象的不动点迭代[J].西南师范大学学报（自然科学版）,2005,30(6):949-951. 被引量：1
  • 5郭大均.非线性泛函分析[M].第二版,济南:山东科学技术大学出版社.2001,235-240.
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  • 7AGARWAL R P, MEEHAN M,O'REGAN D. Fixed point theory and applications[M]. Cambridge:Cambridge Univer- sity Press,Beijing World Publishing Corporation, 2001.
  • 8FRIGON M. On continuation methods for contractive and nonexpansive mappings[M]. Sevilla: Recent Advances in Metric Fixed Point Theory, Universidad de Sevilla, 1996:19-30.
  • 9O'REGAN D. Fixed point theorems for nonlinear operators[J]. J Math Anal Appl, 1996,202:413-432.
  • 10MEEHAN M,O'REGAN D. Multiple nonnegative solutions of nonlinear integral equations on compact and semi-infi- nite intervals[J]. Applieable Anal, 2000,74: 413-427.

引证文献4

二级引证文献1

西南大学学报（自然科学版）
2010年 第8期

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