| 半序Banach空间中集的上确界及一类非线性算子方程的解 |
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| 引用本文： | 仲跻春.半序Banach空间中集的上确界及一类非线性算子方程的解[J].南京师大学报,1989,12(3):21-25,20. |
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| 作者姓名： | 仲跻春 |
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| 作者单位： | 南京师大数学系 |
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| 摘 要： | 本文讨论了半序Banach空间中集的上确界的存在性,获得了锥为强极小的一个充分条件。同时,澄清了A为增算子时方程Ax=x有解的充要条件。
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| 关 键 词： | 上确界 半序集 增算子 锥 强极小 |
THE SUPREMUM OF THE SET IN A SEMI-ORDER BANACH SPACE AND THE SOLUTION OF A CLASS NONLINEAR OPERATOR EQUATION |
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| Zhong Jichun.THE SUPREMUM OF THE SET IN A SEMI-ORDER BANACH SPACE AND THE SOLUTION OF A CLASS NONLINEAR OPERATOR EQUATION[J].Journal of Nanjing Normal University(Natural Science Edition),1989,12(3):21-25,20. |
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| Authors: | Zhong Jichun |
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| Institution: | Department of mathematics |
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| Abstract: | In this paper, we discuss the existence of the supremum of the set in a semi-order Banach space, and we gain a sufficient condition that a cone is strongly minimum. Next, we find the sufficient and necessary condition that the equation Ax=x exists solutions when A is a increasing operator. |
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| Keywords: | Supremura Semi-order Set Increasing operator |
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