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2类压缩映射的强收敛定理

Some strong convergence theorems for two contractive mappings
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摘要 在一般Banach空间研究了拟压缩映射对和广义压缩映射的不动点的Ishikawa迭代序列的收敛性问题;在凸度量空间研究了拟压缩映射对的不动点的广义Ishikawa迭代序列的收敛性问题,所得结果推广和改进了已有文献中的相应结果. The problems on convergence of fixed point with Ishikawa iterative process for quasi-contractive mapping pair and generalized contractive mapping in Banach spaces are studied. The problem on convergence of fixed point with generalized Ishikawa iterative process for quasi-contractive mapping pair in convex metric spaces is studied. The obtained results extend and improve corresponding results about existing refrences.
机构地区 渤海大学数学系
出处 《南阳师范学院学报》 CAS 2009年第6期9-12,共4页 Journal of Nanyang Normal University
基金 辽宁省教育厅科研基金资助项目(2005020)
关键词 拟压缩映射对 广义压缩映射 BANACH空间 凸度量空间 ISHIKAWA迭代序列 quasi-contractive mapping pair generalized contractive mapping Banach spaces convex metric spaces Isbikawa iterative process
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  • 1Ishihara H, Takahashi W. A nonlinear ergodic theorem for a reversible semigroup of Lipschitzian mapping in a Hilbert space[J]. Proc Am Math Soc, 1988, 104: 431-436. 被引量:1
  • 2Passty G B. Construction of fixed points for asymptotically nonexpansive mapping[J]. Proc Amer Math Soc, 1982, 84: 212-216. 被引量:1
  • 3Schu J. Iterative construction of fixed points of asymptotically nonexpansive mappings[J]. J Math Anal Appl, 1991, 158: 407-413. 被引量:1
  • 4Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mappings[J]. Proc Amer Math Soc, 1972, 35: 171-174. 被引量:1
  • 5Ghosh M K, Debnath L. Convergence of Ishikawa iterates of quasi-nonexpansive mappings[J]. J Math Anal Appl, 1997, 207: 96-103. 被引量:1
  • 6Qihou Liu. Iterative sequences for asymptotically quasi-nonexpansive mappings with Error Member[J].J Math Anal Appl, 2001, 259: 18-24. 被引量:1
  • 7Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping[J]. Proc Am Math Soc, 1972, 35: 171-174. 被引量:1
  • 8Takahashi,W.A convexity in metric spaces and nonexpansive mappings[J].Kodia Math.Sem.Rep,1970,22,142~149. 被引量:1
  • 9Zhang Shisheng.Fixed point theorem and application[M].Chongqing: Chongqing press,1984. 被引量:1
  • 10Liu Qihou.A convergent theorem of the sequence of Ishikawa iterates for quasi-contractive mappings[J].J Math Anal Appl,1990,146:301~305. 被引量:1

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