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一类抽象二元算子藕合不动点的存在唯一性
  • ISSN号：1671-1785
  • 期刊名称：《内江师范学院学报》
  • 时间：0
  • 分类：O175.8[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,山东曲阜市273165, [2]济宁市实验中学,山东省济宁市272000
  • 相关基金：基金项目：国家自然科学基金资助项目（10771117）和山东省自然科学基金（Y2007A23）资助项目.
作者： 周立英[1], 翟祥鸽[2], 刘立山[1]
关键词： Banach压缩映像原理, 锥理论, 二元算子, Banach contraction mapping principle, cone theory, binary operator
中文摘要：

在Banach空间中，利用非线性分析中的锥理论和Banach压缩映像原理，在对算子不作任何连续性和紧性假设的条件下，得到了一类抽象二元算子藕合不动点的存在唯一性定理，所得结果改进统一了前人的许多成果，使得该结论更易于实际应用。

英文摘要：

In this paper, by using the Banach contraction mapping principle and the theory of cone, the existence and uniqueness theorems Of fixed point for a class of abstract two binary operator in Banach spaces are obtained, which are no restriction of continuous or compact. The results improve and unify many known results.

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期刊信息
  • 《内江师范学院学报》
  • 主管单位:四川省教育厅
  • 主办单位:内江师范学院
  • 主编：谢峰
  • 地址：四川省内江市东桐路705号
  • 邮编：641100
  • 邮箱：
  • 电话：0832-2340042
  • 国际标准刊号：ISSN：1671-1785
  • 国内统一刊号：ISSN：51-1621/Z
  • 邮发代号:
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  • 被引量:6114