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Coincidence Theorem for Admissible Set-valued Mappings and Its Applications in FC-spaces

Coincidence Theorem for Admissible Set-valued Mappings and Its Applications in FC-spaces
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摘要 A new coincidence theorem for admissible set-valued mappings is proved in FC-spaces with a more general convexity structure. As applications, an abstract variational inequality, a KKM type theorem and a fixed point theorem are obtained. Our results generalize and improve the corresponding results in the literature.
作者 Ming-ge Yang Lei Deng
机构地区 Department of Mathematics Department of Mathematics School of Mathematics and Statistics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第3期455-462,共8页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China (No. 10771173) the Natural Science Foundation of Henan Education Department (No. 2008B110012) the Science and Technology Program Project of Henan Province (No. 092300410187) the Youth Foundation of Luoyang Normal University
关键词 FC-SPACE coincidence theorem admissible set-valued mapping FC-space, coincidence theorem, admissible set-valued mapping
分类号 O224 [理学—运筹学与控制论] O177.91 [理学—基础数学]
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参考文献20

  • 1Ben-El-Mechaiekh, H., Deguire, P. Approachability and fixed points for non-convex set-valued maps. J. Math. Anal Appl., 170:477-500 (1992).
  • 2Deng, L., Xia, X. Generalized R-KKM theorems in topological space and their applications. J. Math Anal. Appl., 285:679 690 (2003).
  • 3Ding, X.P. Maximal clement theorems in product FC-spaees and generalized games. J. Math. Anal Appl., 305:29-42 (2005).
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  • 5Eilenberg, S., Montgomery, D. Fixed point theorems for multivalued transformations. Amer. J. Math., 58:214-222 (1946).
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  • 9Kakutani, S. A generalization of'Brouwer's fixed point theorem. Duke Math. J., 8:457-459 (1941).
  • 10Lassonde M. On the use of KKM multifunctions in fixed point theory and related topics. J. Math. Anal Appl., 97:151-201 (1983).
Acta Mathematicae Applicatae Sinica
2010年 第3期

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