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局部化单调定理 被引量:4

A Localized Monotone Theorem
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摘要 本文得到了一个局部化单调定理,由此推出了某些新的不动点定理,并将某些结果作为其特例。 In this paper,a generalized result is established.i.e.a localized monotonetheorem.From this,are generalized.
作者 郭伟平
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 1990年第3期18-22,共5页 Journal of Inner Mongolia Normal University(Natural Science Edition)
关键词 度量空间 局部单调函数 连续映射 Metric space Localized monotone function Continuous mapping Fixed point
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参考文献1

  • 1樊恩祥,郭伟平.关于紧距离空间中的不动点定理及广义第(25)类压缩映射的不动点定理[J]松辽学刊(自然科学版),1985(03).

同被引文献18

  • 1郭伟平,陈学林.关于某些不动点定理的推广[J].大庆石油学院学报,1989,13(4):91-94. 被引量:1
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  • 5Dhage B C. On continuity of mappings in D-metric spaces[J]. Bull Cal Math Soc, 1994,86:503-508.
  • 6Dhage B C. Generalized D-metric spaces and multi-valued contraction mappings[J]. An Stiint Univ Al I Cuza Iasi Mat(N. S), 1998,44: 179-200.
  • 7Mustafa Z, Sims B. Some remarks concerning D-metric spaces[C]//Proceedings of International Conference on Fixed Point Theory and ' Applications. Spain: Yokohama Publishers Valencia,2004 : 189-198.
  • 8Mustafa Z. A new structure for generalized metric spaces with applications to fixed point theory[D]. Ph D thesis, The University of Newcastle, Callaghan, Australia, 2005.
  • 9Mustafa Z, Sims B. A new approach to generalized metric spaces[J]. J of Nonl Convex Anal,2006,7(2):289-297.
  • 10Mustafa Z, Obiedat H, Awawdeh F. Some fixed point theorem for mapping on complete Gmetric spaces[J]. Fixed Point Theory and Applications, 2008, Article ID 189870.

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