锥上减映象的不动点及其在非局部边值问题中的应用

赵增勤

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 493-500.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 493-500. DOI: 10.12341/jssms08965
论文

锥上减映象的不动点及其在非局部边值问题中的应用

    赵增勤
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Fixed Points of Nonincreasing Maps in a Cone and Applications to Nonlocal Boundary Value Problems

    ZHAO Zengqin

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文章历史 +

摘要

研究锥上一类减映象, 得到这类映象不动点的存在性、唯一性和迭代序列的收敛性. 其结果在二阶非局部边值问题中得到应用.

Abstract

This paper is conserned with a class of nonincreasing maps in a cone, the
existence and uniqueness of the fixed points for nonincreasing maping are obtained, and the convergence of corresponding iterative sequences are proved.
Finally, the results are applied to second-order nonlocal boundary value problems.

关键词

锥 / 序 Banach 空间 / 减映象 / 不动点.

Key words

Cone / ordered Banach space / decreasing map / fixed point.

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赵增勤. 锥上减映象的不动点及其在非局部边值问题中的应用. 系统科学与数学, 2010, 30(4): 493-500. https://doi.org/10.12341/jssms08965
ZHAO Zengqin. Fixed Points of Nonincreasing Maps in a Cone and Applications to Nonlocal Boundary Value Problems. Journal of Systems Science and Mathematical Sciences, 2010, 30(4): 493-500 https://doi.org/10.12341/jssms08965
中图分类号： 47H10    47H07    34B15   
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