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一类非混合单调算子新的不动点定理
  • ISSN号：1672-3600
  • 期刊名称：《商丘师范学院学报》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,山东曲阜273165
  • 相关基金：国家自然科学基金资助项目（10771117）;高等学校博士点专项基金资助项目（20060446001）
作者： 孙钦福[1], 高涛[1], 刘元健[1], 赵艳玲[1]
关键词： 锥与半序, 正规锥, 混合单调算子, 不动点, cone and partial, normal cone, mixed monotone operator equations, fixed point
中文摘要：

利用锥理论和非对称迭代方法，讨论了Banach空间不具有单调性、连续性和紧性条件，而只满足某些序条件的非混合单调算子方程解的存在唯一性及迭代收敛性，并给出了此迭代的误差估计，所得结果改进和推广了混合单调算子方程的某些已知结果．

英文摘要：

By using the cone theory and non-symmetry iteration method, the existence and uniqueness of solutions of non-mixed monotone operator equations without monotonieity, continuity and compactness conditions are studied, and the iteration sequences which converge to solution of operator equations and the error estimates are also given. The results improve and generalize some known results of mixed monotone operator equation.

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期刊信息
  • 《商丘师范学院学报》
  • 主管单位:河南省教育厅
  • 主办单位:商丘师范学院
  • 主编：司林胜
  • 地址：河南省商丘市平原路55号
  • 邮编：476000
  • 邮箱：sqsysr@126.com sqsyzr@126.com
  • 电话：0370-3126863
  • 国际标准刊号：ISSN：1672-3600
  • 国内统一刊号：ISSN：41-1303/Z
  • 邮发代号:
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  • 被引量:5467