混合单调型μ_0凹凸算子的不动点定理  

Fixed point theorems of mixed monotone μ_0-concave-convex operator

作　　者：李斌[1] 薛西峰[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2012年第3期259-261,共3页Basic Sciences Journal of Textile Universities

基　　金：陕西省自然科学基金资助项目(2012JM1017)

摘　　要：提出了混合单调型μ0凹凸算子的概念,证明了混合单调型μ0凹凸算子最多有一个非零不动点,并且借助于半序理论推导出了其不动点迭代序列可以用极限为零的单调数列乘以μ0来逼近.The definition of mixed monotone μ0-concave-convex operator was gived.The mixed monotone μ0-concave-convex operator at most a nonzero fixed point was proved,and the fixed point of mixed monotone μ0-concave-convex operator is deduced by means of half sequence theory,who iterative sequence can be used for themonotone sequence which limit approach to zero multiply μ0.

关 键 词：混合单调算子 μ0凹凸算子 不动点 单调数列 

分 类 号：O177.92[理学—数学]