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反向混合单调算子的藕合不动点定理
引用本文:尹建东,郭挺.反向混合单调算子的藕合不动点定理[J].南昌大学学报(理科版),2011,35(3).
作者姓名:尹建东  郭挺
作者单位:南昌大学数学系,江西南昌,330031
基金项目:江西省自然科学基金资助项目(2008GQS0071)
摘    要:在实Banach空间中,利用锥理论和单调迭代技巧,研究一类反向混合单调算子的藕合不动点存在唯一性和迭代收敛性问题,得到了一些新结果。所得的主要结果推广了最近一些文献中的相应的结论。如文9]中讨论的减映象的不动点定论。

关 键 词:  半序Banach空间  反向混合单调算子  藕合不动点  

Aupled fixed-point theorems of anti-mixed monotone operators
YIN Jian-dong,GUO Ting.Aupled fixed-point theorems of anti-mixed monotone operators[J].Journal of Nanchang University(Natural Science),2011,35(3).
Authors:YIN Jian-dong  GUO Ting
Institution:YIN Jian-dong,GUO Ting(Department of Mathematics,Nanchang University,Nanchang 330031,China)
Abstract:The paper studied the existence and uniqueness of coupled fixed points for a class of anti mixed monotone operators and the iterated convergent problem by means of the cone theory and the technique of monotone iteration.Some new results were obtainedin real Banach space,which generalized the corresponding conclusion in recent articles,such as the fixed theorem for nonincreasing maps in paper9].
Keywords:Cone  partially ordered Banach space  anti-mixed monotone operator  coupled fixed point  
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