| 一类非单调二元算子新的不动点定理 |
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| 引用本文： | 赵巧玲 赵晓晶. 一类非单调二元算子新的不动点定理[J]. 烟台师范学院学报(自然科学版), 2005, 21(4): 247-249,253 |
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| 作者姓名： | 赵巧玲 赵晓晶 |
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| 作者单位： | [1]商丘师范学院数学系,河南商丘476000 [2]安阳工学院基础部,河南安阳455000 |
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| 基金项目： | 河南省自然科学基金资助项目（211050300）;商丘师范学院重点学科基金资助 |
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| 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非单调二元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，所得结果是某些已知结果的本质改进和推广．
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| 关 键 词： | 锥与半序 非对称迭代 算子方程 不动点 |
| 文章编号： | 1004-4930（2005）04-0247-03 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-05-10 |
New Fixed Point Theorems for a class of Non-monotone Binary Operators |
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| ZHAO Qiao-ling, ZHAO Xiao-jing. New Fixed Point Theorems for a class of Non-monotone Binary Operators[J]. Yantai Teachers University journal(Natural Science Edition), 2005, 21(4): 247-249,253 |
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| Authors: | ZHAO Qiao-ling ZHAO Xiao-jing |
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| Affiliation: | 1. Department of Mathematics,Shangqiu Teachers College,Shangqiu 476000,China; 2. Department of Basi Sciences,Anyang Institute of Technology,Anyang 455000,China |
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| Abstract: | By using the cone theory and non-symmetry iteration method, the existence and uniqueness of solutions of non-monotone binary operator equations without continuity and compactness conditions are studied, and the iteration sequences which converge to solution of operator equations and the error estimates are also given. The results presented improve and generalize some corresponding ones. |
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| Keywords: | cone and partial ordering non-symmetric iteration operator equations fixed point |
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