| 凹(凸)算子的不动点定理及其应用 |
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| 引用本文： | 李福义()梁展东(). 凹(凸)算子的不动点定理及其应用[J]. 系统科学与数学, 1994, 14(4): 355-360 |
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| 作者姓名： | 李福义()梁展东() |
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| 作者单位： | (1)山西大学数学系;(2)山西大学数学系 |
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| 摘 要： | 凹（凸）算子的不动点定理及其应用李福义，梁展东（山西大学数学系，太原０３０００６）１９９２年１０月６日收到．近二十年来，人们对α凹（－α凸）算子，凹（凸）算子，一般凹（凸）算子以及减算子这四类非线性算于，用Ｈｉｌｂｅｒｔ投影距离、单调迭代技巧、拓扑度理论等各种方法进行了广泛深入的研究，条件彼不断减弱、结论不断深化，新旧更替，分别参见［１—７］，［８－１２］，［１１—１３］，［１４］．本文引...
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FIXED-POINT THEOREMS OF -CONCAVE (CONVEX)OPERATOR AND APPLICATION |
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| LI FU-YI,LIANG ZHAN-DONG. FIXED-POINT THEOREMS OF -CONCAVE (CONVEX)OPERATOR AND APPLICATION[J]. Journal of Systems Science and Mathematical Sciences, 1994, 14(4): 355-360 |
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| Authors: | LI FU-YI LIANG ZHAN-DONG |
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| Affiliation: | (1)Department of Methematics,Shanxi University, Taiyuan 030006;(2)Department of Methematics,Shanxi University, Taiyuan 030006 |
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| Abstract: | In this paper, the definition of -concave (-convex) operator is given, andsome new results are obtained. Compared with some previous results, these new results weaken some conditions (e.g. take off compactness, continuity etc.)and strengthen the conclusions. |
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