| ON THE EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTIONS FOR A CLASS OF THE SYSTEMS OF MIXED MONOTONE OPERATOR EQUATIONS WITH APPLICATION |
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| 摘 要： | ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＡＮＤＵＮＩＱＵＥＮＥＳＳＴＨＥＯＲＥＭＳＯＦＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＴＨＥＳＹＳＴＥＭＳＯＦＭＩＸＥＤＭＯＮＯＴＯＮＥＯＰＥＲＡＴＯＲＥＱＵＡＴＩＯＮＳＷＩＴＨＡＰＰＬＩＣＡＴＩＯＮＳＨＥＮＰＥＩＬＯＮＧ...
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| 关 键 词： | 存在性 唯一性定理 混合单调算子函数 实巴拿赫空间 |
| 收稿时间： | 1996-12-05 |
On the existence and uniqueness theorems of solutions for a class of the systems of mixed monotone operator equations with application |
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| Shen Peilong. On the existence and uniqueness theorems of solutions for a class of the systems of mixed monotone operator equations with application[J]. Applied Mathematics A Journal of Chinese Universities, 1998, 13(3): 289-294. DOI: 10.1007/s11766-998-0021-7 |
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| Authors: | Shen Peilong |
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| Affiliation: | (1) Teaching Department, Shanxi Radio & TV University, 030027 Taiyuan |
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| Abstract: | By using the equivalent classes (which are called components) of a real Banach space, the existence, uniqueness and symmetric or nonsymmetric iterative approximation of solutions for a class of systems of mixed monotone operator equations are discussed. The results obtained here are a generalization of the corresponding results of Guo Dajun (1988, 1992), Pan Xingbin (1988) and Li Fuyi & Liang Zhandong(1994). As application, the results are used to study the existence and uniqueness problems of common solutions for a class of systems of nonlinear integral equations. Project (971001) supported by The Shanxi Youth Science Foundation. |
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| Keywords: | 47H10 |
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