| Banach空间一类非线性算子方程的不动点 |
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| 引用本文： | 张凯,时宗波.Banach空间一类非线性算子方程的不动点[J].哈尔滨师范大学自然科学学报,2009,25(4):16-17,21. |
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| 作者姓名： | 张凯 时宗波 |
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| 作者单位： | 1. 商丘师范学院
2. 西峡职业中专 |
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| 基金项目： | 河南省自然科学基金项目(092102210204,092300410141) |
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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线性算子方程A（x，x）＋u0=Bx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本质改进和推广．
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| 关 键 词： | 锥与半序 混合单调算子 算子方程 |
FIXED POINT OF SOME NONLINEAR OPERATOR EQUATION IN BANACH SPACE |
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| Zhang Kai,Shi Zongbo.FIXED POINT OF SOME NONLINEAR OPERATOR EQUATION IN BANACH SPACE[J].Natural Science Journal of Harbin Normal University,2009,25(4):16-17,21. |
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| Authors: | Zhang Kai Shi Zongbo |
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| Institution: | Shangqiu Teachers' College;Xixia Professional College |
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| Abstract: | Using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of solutions of some nonlinear operator equations A(x,x)+u0=Bx without continuity and compactness conditions.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results. |
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| Keywords: | Cone and partial ordering Mixed monotone operator Fixed point |
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