| 不动点理论和广义补问题 |
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| 引用本文： | 丁协平.不动点理论和广义补问题[J].四川师范大学学报(自然科学版),1994,17(5):1-6. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 在本文中利用Ｉｓａｃ引入的保序投影锥的性质，点值和集值映象的已知不动点定理，对广义补问题ＧＣＰ（Ｆ、Ｋ）和广义隐补问题ＧＩＣＤ（Ｆ，ｇ，Ｋ）证明了解的存在性定理．且改进和推广了Ｉｓａｃ和Ｉｓａｃ－Ｎéｍｅｔｈ的最近结果。
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| 关 键 词： | 广义补问题 不动点定理 希尔伯特空间 |
FIXED POINT THEORY AND GENERALIZED COMPLEMENTARITY PROBLEMS |
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| Ding Xieping.FIXED POINT THEORY AND GENERALIZED COMPLEMENTARITY PROBLEMS[J].Journal of Sichuan Normal University(Natural Science),1994,17(5):1-6. |
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| Authors: | Ding Xieping |
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| Abstract: | In this paper, by applying the properties of isotone projection cone defined by Isac and some known fixed point theorems for single-valued and set-valued mappings, several existence theorems of solutions for generalized complementarity problem GCP (F, K) and generalized implicit complementarity problem GICP(F,g,K) are proved. Our theorems improve and generalize the recent results of Isac's and Isac-N meth's. |
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| Keywords: | Hilbert space isotone projection cone generalized complementarity problem generalized implicit complementarity problem |
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