| 关于反向混合单调算子的不动点定理及其应用 |
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| 引用本文： | 赵巧玲.关于反向混合单调算子的不动点定理及其应用[J].西南民族学院学报(自然科学版),2006,32(2):217-219. |
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| 作者姓名： | 赵巧玲 |
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| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
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| 基金项目： | 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 |
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| 摘 要： | 运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调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,作为其应用着重讨论了非反向混合单调算子方程解的存在唯一性,所得结果改进和推广了混合单调算子方程某些已知相应结果.
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| 关 键 词： | 锥与半序 反向混合单调算子 非对称迭代 不动点 |
| 文章编号： | 1003-2843(2006)02-0217-03 |
| 修稿时间： | 2005年8月16日 |
Fixed point theorems of anti-mixed monotone operator and its applications |
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| ZHAO Qiao-ling.Fixed point theorems of anti-mixed monotone operator and its applications[J].Journal of Southwest Nationalities College(Natural Science Edition),2006,32(2):217-219. |
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| Authors: | ZHAO Qiao-ling |
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| Abstract: | Using the cone and partial theory and non-symmetry iteration method,the author studies the existence and uniqueness of solutions to a class of anti-mixed monotone operator equations in Banach spaces.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.For its application,the existence and uniqueness of solutions of non-anti-mixed monotone operator equations are discussed,The results presented here improve and generalize some corresponding results for mixed monotone operators. |
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| Keywords: | cone and partial ordering anti-mixed monotone operator non-symmetric iteration fixed point |
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