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一类混合单调算子的不动点定理

发表时间:2009-07-15  浏览量:1562  下载量:481
全部作者: 孙钦福,栾世霞
作者单位: 曲阜师范大学数学科学学院
摘 要: 利用锥理论和单调迭代方法,讨论了没有连续性条件也没有紧性条件,而只满足某些序条件的非单调算子方程解存在唯一性及迭代收敛性,得出有关混合单调算子、增算子和减算子的新的不动点定理,并给出此迭代的误差估计,所得结果是某些已知结果的本质改进和推广,使得所得结果更便于应用。
关 键 词: 应用数学;锥理论;混合单调算子;正规锥;不动点�
Title: Fixed point theorems for a class of mixed monotone operators
Author: SUN Qinfu, LUAN Shixia
Organization: School of Mathematical Sciences,Qufu Normal University
Abstract: By using the cone theory and monotone iterative method, the existence and uniqueness of solutions of non-monotone operator equations without continuity and compactness conditions are studied, some new fixed point theorems of mixed monotone operators, increasing operators and decreasing operators are obtained, 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, and facilitate application.�
Key words: applied mathematics; cone theory; mixed monotone operators; normal cone; fixed point
发表期数: 2009年7月第13期
引用格式: 孙钦福,栾世霞. 一类混合单调算子的不动点定理[J]. 中国科技论文在线精品论文,2009,2(13):1412-1416.
 
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