一类增算子不动点定理及其应用  

Fixed Point Theorems of a Class of Increasing Operators and Applications

作　　者：赵巧玲[1] 王建平[2] 

机构地区：[1]商丘师范学院数学系,河南商丘476000 [2]河南农业大学信息与管理科学学院,河南郑州450002

出　　处：《大学数学》2008年第3期88-93,共6页College Mathematics

基　　金：河南省教委科研基金资助项目(200410483004);商丘师范学院重点学科资助

摘　　要：利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性.作为其应用着重讨论了非增算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions. For it＇s application, it is mainly studied the existence and uniqueness of solutions of non-increasing operator equations. And the iteration sequences which converge to solution of perator equations and the error estimates are also given. The results presented here improve and generalize some corresponding results.

关 键 词：锥与半序 增算子 非对称迭代 不动点 

分 类 号：O189.2[理学—数学]