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文章基本信息

  • 标题:Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces
  • 本地全文:下载
  • 作者:Hui-Sheng Ding ; Jin Liang ; Ti-Jun Xiao
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/108343
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators. In the second fixed point theorem, the nonlinear operators are neither monotone nor mixed monotone. We also provide an illustrative example for our second result.

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