FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS  

作　　者：YANG Guang-chong(杨光崇) 

机构地区：[1]Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第3期341-349,共9页应用数学和力学（英文版）

摘　　要：The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity.The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity.

关 键 词：ordered space supremum and infimum increasing operator and fixed point singular boundary problem 

分 类 号：O177.91[理学—数学]