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序映射的不动点定理 被引量:1

Fixed point theorems of ordered maps
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摘要 目的分析研究一类更广的序映射不动点问题。方法在序Banach空间中采用迭代序列方法。结果证明了序Banach空间中广义序映射的几个不动点定理。结论改进和推广了相应的序Banach空间中序映射的不动点定理。 Aim To analyze a class of generalized fixed-point problems ot ordered mappmgs, Methods The method of iterative sequences in ordered Banach space was Used. Results The fixed point theorems of generalized ordered mapping in ordered Banach space were obtained. Conclusion The corresponding fixed point theorems of ordered mappings in ordered Banach space were improved and generalized.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2007年第1期25-29,共5页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 江苏省教育厅自然科学基金项目(06KJB110010) 江苏省博士后基金项目(203003401)
关键词 不动点 序映射 序BANACH空间 fixed point ordered mappings ordered Banach space
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参考文献7

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二级参考文献4

  • 1Amann H., On the number of solutions of nonlinear equations in ordered Banach spaces, J. Funct. Anal.,1972, 11: 346-384. 被引量:1
  • 2Du Y. H., Fixed points of increasing operators in ordered Banach spaces and applications, Appl. Anal., 1990,38: 1-20. 被引量:1
  • 3Ge D. J., Fixed points of mixed monotone operators with applications, Appl. Anal., 1988, 31: 215-224. 被引量:1
  • 4Ge D. J., Lakshmikantham V., Couple fixed points of nonlinear operators with applications, Nonlinear Anal.TMA, 1987, 11: 623-632. 被引量:1

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