期刊文献+

度量空间中广义渐进非扩张映射Ishikawa迭代的收敛性问题

Iterative processes for generalized asymptotically non-expansive mapping in convex metric space
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摘要 讨论凸度量空间上广义渐进准非扩张映射的Ishikawa迭代不动点问题,并将文献[1]在Banach空间中得到的结论推广到了更广泛的凸度量空间中。 The fixed points problem of modified Ishikawa iterative process of asymptotically quasi-nonexpansive mapping in convex metric space is discussed. The result of literature [1] is extended to convex metric space.
出处 《华北电力大学学报(自然科学版)》 CAS 北大核心 2006年第4期110-112,共3页 Journal of North China Electric Power University:Natural Science Edition
基金 国家自然科学基金资助项目(10471033)
关键词 度量空间 非扩张映射 ISHIKAWA迭代 metric space nonexpansive mapping Ishikawa iterative
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参考文献6

  • 1Zhou H Y,Cho Y J.Iterative processes for generalized asymptotically nonexpansive mapping in banach spaces[J].PanAmerican Math.J.2003,13 (4):99-107.
  • 2Goebel K,Kirk W A.A fixed point theorem for asymptotically nonexpansive mappings[J].Proc.Amer.Math.Soc,1972,35:171-174.
  • 3Bose S.Weak convergence to the fixed point of an asymptotically nonexpansive mapping[J].Pro.Amer.Math.Soc,1978,68:305-308.
  • 4Schu J.Iteration construction of fixed points of asymptotically nonexpansive mapping[J].J.Math.Anal.Appl,1991,158:407-413.
  • 5Schu J.Weak and strong convergence of fixed points of asymptotically non-expansive mapping[J].Bull.Austral.Math.Soc,1991,43:153-159.
  • 6Takahashi W.A convexity in metric spaces and nonexpansive mappings[J].KodaiMath.Sem.Rep,1970,22:142-149.

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