| Banach空间非线性非单调算子方程的解和最小-最大拟解对 |
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| 引用本文： | 张克梅,解学军. Banach空间非线性非单调算子方程的解和最小-最大拟解对[J]. 数学研究及应用, 2003, 23(1): 47-52 |
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| 作者姓名： | 张克梅 解学军 |
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| 作者单位： | 1. 曲阜师范大学数学系,山东曲阜,273165
2. 东北大学自动控制系,辽宁,沈阳,110004 |
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| 基金项目： | Supported by NNSFC(19871048)，NSFSP(Z2000A02) |
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| 摘 要： | 本文讨论了非线性非单调箅子方程x=A(x,x)的解和最小-最大拟解对的存在 性,改进并推广了若干结果.
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| 关 键 词： | Banach空间 非线性非单调算子方程 解 最小－最大拟解对 |
| 收稿时间： | 2000-02-19 |
Solution and Coupled Minimal-Maximal Quasi-Solutions of Nonlinear Non-monotone Operator Equations in Banach Spaces |
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| ZHANG Ke-mei and XIE Xue-jun. Solution and Coupled Minimal-Maximal Quasi-Solutions of Nonlinear Non-monotone Operator Equations in Banach Spaces[J]. Journal of Mathematical Research with Applications, 2003, 23(1): 47-52 |
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| Authors: | ZHANG Ke-mei and XIE Xue-jun |
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| Affiliation: | Dept. of Math.; Qufu Normal University; Shandong; China;Dept. of Auto. Cont.; Northeastern University; Liaoning |
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| Abstract: | In this paper, we discuss the existence of the solution and coupled minimal and maximal quasi-solutions for nonlinear non-monotone operator equation x = A(x, x), improved and generalized many relevant results. |
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| Keywords: | monotone operator coupled quasi-solutions cone. |
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