摘要
利用锥理论研究非线性增算子 ,当映序区间入序区间时 ,不动点的存在性 .引入序Lip schitz条件 ,不要求算子的任何紧性 ,证明了不动点存在唯一 ,并且可用迭代法求出 .将所获结果应用于非线性常微分方程两点边值问题 ,得到了新结果 .
In this paper,the existence of the fixed point for nonlinear increasing operators is discussed by using cone theory.We introduce order Lipschitz condition,and get existence and uniqueness of the fixed point without any compactness of the operators.Moreover,the exactly one fixed point can be obtained by a successive method.Besides,we apply these results to the two point boundory value problem of the ordinary differential equation.
出处
《江西师范大学学报（自然科学版）》
CAS
2000年第1期25-27,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
正规锥
增算子
不动点定理
非线性算子方程
normal cone
increasing operator
order Lipschitz condition
fixed point
