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混合单调算子对的新不动点定理及应用

王维娜 薛西锋

纺织高校基础科学学报Issue(3):328-331,4.
纺织高校基础科学学报Issue(3):328-331,4.

混合单调算子对的新不动点定理及应用

Mixed monotone operators of the new fixed point theorems and its application

王维娜 1薛西锋1

作者信息

  • 1. 西北大学数学系,陕西西安710127
  • 折叠

摘要

Abstract

In order to explore the existence and uniqueness of reverse mixed monotone operators and the mixed monotone operatorin partially ordered Banach space ,the monotone iterative method and mathe-matical induction as well as the properties of the ordering difference are used .Then the new fixed point theorems of them under some ordering difference relationship is obtained .The results generalize the re-lated conclusion .Finally the fixed point theorems of the mixed monotone operators are applied to initial value problem of the first order ordinary differential equation group .

关键词

混合单调算子/正规锥/不动点/序差/归纳法

Key words

mixed monotone operators/normal cone/fixed point/ordering difference/conjecture

分类

数理科学

引用本文复制引用

王维娜,薛西锋..混合单调算子对的新不动点定理及应用[J].纺织高校基础科学学报,2014,(3):328-331,4.

基金项目

陕西省自然科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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