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一类混合单调算子方程解的存在性定理
The existence of solutions of some mixed monotone operator equations
【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混合单调算子方程解的存在性,并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本质改进和推广.
【Abstract】 By using the cone theory and non-symmetry iteration method,the existence of solutions of mixed monotone operator equations without continuity and compactness conditions is studied.And the iterative sequences which converge to solution of operator equations and the error estimates are also given. The results improve and generalize some corresponding results.
【关键词】 锥与半序;
混合单调算子;
非对称迭代;
【Key words】 cone and partial ordering; mixed monotone operator; non-symmetric iteration;
【Key words】 cone and partial ordering; mixed monotone operator; non-symmetric iteration;
【基金】 河南省教育厅科研基金资助项目(1999110018)
- 【文献出处】 烟台师范学院学报(自然科学版) ,Yantai Normal University Journal(Natural Science) , 编辑部邮箱 ,2004年01期
- 【分类号】O177
- 【被引频次】3
- 【下载频次】27