| 一类混合单调算子的不动点定理 |
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| 引用本文： | 孙钦福,栾世霞.一类混合单调算子的不动点定理[J].浙江师范大学学报(自然科学版),2008,31(4):385-388. |
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| 作者姓名： | 孙钦福 栾世霞 |
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| 作者单位： | 曲阜师范大学,数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金
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曲阜师范大学青年基金
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| 摘 要： | 利用锥理论和单调迭代方法，讨论了既没有连续性条件也没有紧性条件、只满足某些序条件的非单调算子方程解的存在唯一性及迭代收敛性，得出了有关混合单调算子、增算子和减算子的新的不动点定理，并给出了此迭代的误差估计，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： | 锥理论 混合单调算子 正规锥 不动点 |
Fixed point theorems for a class of mixed monotone operators |
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| SUN Qinfu,LUAN Shixia.Fixed point theorems for a class of mixed monotone operators[J].Journal of Zhejiang Normal University Natural Sciences,2008,31(4):385-388. |
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| Authors: | SUN Qinfu LUAN Shixia |
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| Institution: | ( School of Mathematical Sciences, Qufu Normal University, Qufu Shandong 273165, China ) |
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| Abstract: | By using the cone theory and nonsymmetric iteration method,the existence and uniqueness of solutions of non-monotone operator equations without continuity and compactness conditions were studied,some new fixed point theorems of mixed monotone operators,increasing operators and decreasing operators were obtained,the iteration sequences converged to solution of operator equations and the error estimates were also given.The results presented improvement and generalizations to some corresponding known results. |
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| Keywords: | cone theory mixed monotone operators normal cone fixed point |
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