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广义非扩张映象的不动点定理

Fixed Point Theorem of Generalized Non-expansive Mapping
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摘要 引入一类更广泛于非扩张映象的一种映象,推广了Bogin和Gregus的结论,并对完备度量空间和完备凸度量空间上该映象的不动点定理给出了证明. This paper the results by Bogin and introduces a kind of Gregus, and gives complete convex metric space. mapping from a class of generalized non-expansive mapping, extends proofs for the fixed point theorem on complete metric space and
作者 邓红彦
出处 《重庆工商大学学报(自然科学版)》 2013年第10期8-12,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
关键词 不动点 压缩 非扩张 凸度量空间 fixed point contraction non-expansion convex metric space
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参考文献6

  • 1POPESCU O.Two generalizations of some fixed point theorems [ J ]. Computers and Mathematics with Applications, 2012 (62) : 3912-3919. 被引量:1
  • 2BOGIN J.A generalization of a fixed point theorem of Goebel [ J ].Kirk and Shimi Canad Math Bull, 1976(19) :7-12. 被引量:1
  • 3TAKAHASHI W.A convexity in metric space and nonexpansive mappings [ J ] .Kodai Math, 1970(20) :142-149. 被引量:1
  • 4GREGUS M.A fixed point theorem in banach spaces[J] .Boll Unione Mat Ital Sez A, 1980(17) :193 -198. 被引量:1
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