摘要
利用锥与Mann迭代技巧无需考虑任何紧性或连续性条件,讨论Banach空间中非单调凹(凸)算子的不动点存在性问题,改进和推广了凹(凸)算子的某些相应结果.
By using the cone theory and the Mann's succession skills without any continuity and compactness conditions, it is studied the existence problems of positive fixed point of non-monotone concave (convex) operator in Banach spaces. The results presented here improve and generalize some corresponding results for concave(convex) operator.
出处
《河南科学》
2004年第3期294-296,共3页
Henan Science
基金
河南省教委科研基金资助项目(1999110018)
关键词
凹(凸)算子
MANN迭代
不动点
concave (convex)
operator
Mann's succession
fixed point