| Banach空间一类新反向混合单调算子的不动点定理 |
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| 引用本文： | 王大鹿.Banach空间一类新反向混合单调算子的不动点定理[J].河南科学,2012,30(1):7-10. |
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| 作者姓名： | 王大鹿 |
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| 作者单位： | 黄河水利职业技术学院基础部,河南开封,475003 |
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| 基金项目： | 基金项目：河南省自然科学基金资助项目（112300410268）;河南省教育厅人文社科基金资助项目（2011-GH-075） |
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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的不动点定理,并给出了迭代序列收敛于解的误差估计,并推广讨论了非反向混合单调算子的不动点定理,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 |
Fixed Point Theorems of Some New Anti-mixed Monotone Operator in Banach Space |
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| Wang Dalu.Fixed Point Theorems of Some New Anti-mixed Monotone Operator in Banach Space[J].Henan Science,2012,30(1):7-10. |
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| Authors: | Wang Dalu |
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| Institution: | Wang Dalu (The Foundation Department of Yellow River Conservancy, Kaifeng 475003, Henan China) |
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| Abstract: | Using the cone, partial theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of a class of anti-mixed monotone operator system of 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, it is mainly studied the existence and uniqueness of solutions of non-anti-mixed monotone operator system of equations. 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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