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多值伪压缩映射公共不动点的迭代逼近 被引量:1

The iterative approximation of common fixed points formulti-valued pseudocontractive mappings
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摘要 在实Banach空间中研究了多值Φ—伪压缩映射对公共不动点的Ishikawa迭代逼近,所得结果改进和推广了近期的相关结果. The convergence theorems of Ishikawa iterative sequence for common fixed points of multi-valued pseudocontractive mappings are obtained in real Banach spaces.These results improve and extend the resent corresponding results.
作者 杜荣川
出处 《云南大学学报(自然科学版)》 CAS CSCD 2004年第B07期39-42,共4页 Journal of Yunnan University(Natural Sciences Edition)
关键词 多值伪压缩映射 公共不动点 迭代逼近 实BANACH空间 ISHIKAWA迭代序列 common fixed point Φ-pseudocontractive mapping Ishikawa iterative sequence
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同被引文献17

  • 1王林,徐裕光.广义Lipschitz Φ-伪压缩映射不动点的Mann迭代逼近[J].云南大学学报(自然科学版),2004,26(B07):35-38. 被引量:3
  • 2HUANG L G, ZHANG X. Cone metric spaces and fixed point theorems of contractive mappings [ J ]. Math Anal Appl, 2007, 322(2) :1 468-1 476.
  • 3ABBAS M ,JUNGCK G. Common fixed piont results of nonmmuting mappings without continuity in cone metric spaces [ J ].Math Anal Appl,2008,341 ( 1 ) :416-420.
  • 4RADENOVIC S. Common fixed points under contractive conditions in cone metric spaces [ J ]. Comput Math Appl,2009,58 (6) :1 273-1 278.
  • 5REZAPOUR Sh, HAMLARANI R. Some notes on the paper" Cone metric spaces and fixed point theorems of contractive mappings"[ J]. Math Anal Appl,2008,345(2) :719-724.
  • 6KADELBURG Z,RADENOVIC S,RADENOVIC V. Remarks on quasi - contraction on a cone metric space [ J ]. Appl Math Lett,2009,22 (11 ) :1 674-1 679.
  • 7CHEN Chi-ming, CHANG Tong-hui. Common fixed piont theorems for a weaker Meir- Keeler type function in cone metric spaces [ J ]. Appl Math Lett,2010,23 ( 11 ) : 1 336-1 341.
  • 8ILIC D, RADENOVIC V. Common fixed points for maps on cone metric space [ J ]. Math Anal Appl,2008,341 (2) :876-882.
  • 9ILIC D, RAKOCEVIC V. Quasi - contraction on cone metric space [ J]. Appl Math Lett, 2009,22 (5) : 728-731.
  • 10ALTUNA I, DAMJANOVICB B, DJORIC D. Fixed point and common fixed point theorems on ordered conemetric spaces [ J ]. Appl Math Lett,2010,23(3) :310-316.

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