| Banach空间中非单调算子方程解的存在唯一性 |
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| 引用本文： | 张斐然. Banach空间中非单调算子方程解的存在唯一性[J]. 宝鸡文理学院学报(自然科学版), 2001, 21(2): 90-91,160 |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 商丘师范学院 数学系, |
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| 基金项目： | 河南省教育厅科研项目;1999110018; |
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| 摘 要： | 利用锥和耦合上下解方法，研究Banach空间不具有单调性，连续性和紧性条件的非线性二元算子方程解的存在唯一性，并给出了失代序列收敛于解的误差估计，所得结果和改进和推广了混合单调算子方程的某些已知相应结果。
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| 关 键 词： | 锥 半序 迭代解 Banach空间 非单调算子方程 存在唯一性 误差估计 |
| 文章编号： | 1007-1261(2001)02-0090-02 |
he existence uniqueness of the solutions of non-monotone operator equations in Banach spaces |
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| ZHANG Fei-ran. he existence uniqueness of the solutions of non-monotone operator equations in Banach spaces[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2001, 21(2): 90-91,160 |
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| Authors: | ZHANG Fei-ran |
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| Abstract: | By using the cone theory and the coupling upper and lower solution method,it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.And the iterative 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 for mixed monotone operator equations. |
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| Keywords: | cone and partial ordering operator equations iterative solutions |
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