| 一类非连续非紧算子方程解的存在唯一性及应用 |
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| 引用本文： | 张斐然. 一类非连续非紧算子方程解的存在唯一性及应用[J]. 西南民族学院学报(自然科学版), 2003, 29(4): 394-396 |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 商丘师院数学系 河南商丘 |
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| 基金项目： | 河南省教委科研基金(1999110018) |
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| 摘 要： | 利用锥与半序理论无需考虑紧性、连续性和凹凸性条件,由选代法得到了算子方程Ax=x解的存在唯一性,所得结果改进和推广了减算子方程的某些已知相应结果。
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| 关 键 词： | 锥与半序 减算子 算子方程 |
| 文章编号： | 1003-2843(2003)04-0394-03 |
| 修稿时间： | 2002-02-27 |
Existence uniqueness of solutions of some non-continual and non-compact operator equations and its applications |
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| ZHANG Fei-ran. Existence uniqueness of solutions of some non-continual and non-compact operator equations and its applications[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2003, 29(4): 394-396 |
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| Authors: | ZHANG Fei-ran |
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| Abstract: | By using the cone and partial ordering theory, without regarding any continuity and compactness and concave or convex conditions, we have studied the existence uniqueness of the solution of nonlinear operator equations by a successive method. The results presented here improve and generalize some corresponding results for decreasing operator equations. |
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| Keywords: | cone and partial ordering decreasing operator operator equation |
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