一类二元算子方程组的公共不动点  

The common fixed point for systems of some binary operator equations

作　　者：李波[1] 原新生[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000

出　　处：《安徽大学学报（自然科学版）》2011年第1期32-36,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61073065);河南省教育厅自然科学基金资助项目(2009110013)

摘　　要：利用非线性泛函分析中的锥与半序理论和单调迭代方法,讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的改进和推广.By using the cone and partail ordering theory, the monotonous iteration method in nonlinear funtional analysis, the existence and uniqueness of solutions of non-monotone binary operator system of equations without continuity and compactness conditions were studied, the error estimating that the iteration sequences converging to solution of operator equations were also given . The results presented improved and generalized some known results.

关 键 词：锥与半序 迭代解法 混合单调算子 公共不动点 

分 类 号：O177.91[理学—数学]