| Banach空间一类混合单调集值算子不动点定理及其应用 |
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| 引用本文： | 谢志林,刘笑颖,杜燕,刘彤新.Banach空间一类混合单调集值算子不动点定理及其应用[J].徐州师范大学学报(自然科学版),2008,26(3):48-53. |
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| 作者姓名： | 谢志林 刘笑颖 杜燕 刘彤新 |
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| 作者单位： | 徐州师范大学,数学科学学院,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金，徐州师范大学研究生科研创新计划基金 |
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| 摘 要： | 利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果．
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| 关 键 词： | Banach空间 正规锥 混合单调集值算子 不动点 |
Fixed Point Theorm for a Class of Mixed Monotone Multivalued Operators in Banach Spaces and Its Applications |
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| XIE Zhi-lin,LIU Xiao-ying,DU Yan,LIU Tong-xin.Fixed Point Theorm for a Class of Mixed Monotone Multivalued Operators in Banach Spaces and Its Applications[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(3):48-53. |
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| Authors: | XIE Zhi-lin LIU Xiao-ying DU Yan LIU Tong-xin |
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| Institution: | XIE Zhi-lin, LIU Xiao-ying, DU Yan, LIU Tong-win (School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China) |
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| Abstract: | In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones. |
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| Keywords: | Banaeh space normal cone mixed monotone multivalued operator fixed point |
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