Continuous Dependence of Coincidence Points on a Parameter

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• 作者：Aram Arutyunov ; Sergey Zhukovskiy
• 关键词：Coincidence points ; Covering mappings ; Implicit function theorem ; 34A34 ; 54H25
• 刊名：Set-Valued and Variational Analysis
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：23
• 期：1
• 页码：23-41
• 全文大小：383 KB
• 参考文献：1. Arutyunov, A.V.: Covering mappings in metric spaces and fixed points. Dokl. Math. 76(2), 665-68 (2007) CrossRef
  2. Arutyunov, A., Avakov, E., Gel‘man, B., Dmitruk, A., Obukhovskii, V.: Locally covering maps in metric spaces and coincidence points. J. Fixed Points Theory Appl. 5(1), 105-27 (2009) CrossRef
  3. Pasynkov, B.A.: Fiberwise contraction mappings principle. To appear in Topology and its Appl. (2014)
  4. Arutyunov, A.V., Zhukovskiy, S.E.: Existence and properties of inverse mappings. Proc. Steklov Inst. Math. 271(1), 12-2 (2010) CrossRef
  5. Graves, L.M.: Some mapping theorems. Duke Math. J. 17, 111-14 (1950) CrossRef
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  7. Arutyunov, A.V., Tikhomirov, V.M., Magaril-Il’yaev, G.G.: Pontryagin maximum principle. Proofs and applications, Factorial, Moscow (in Russian) (2006)
  8. Michael, E.A.: Continuous selections. Ann. Math. 63(2), 361-82 (1956); 64(3), 562-80
  9. Aubin, J.-P., Ekeland, I.: Applied Nonlinear Analysis. Wiley, New York (1984)
  10. Arutyunov, A.V.: Implicit function theorem without a priori assumptions about normality. Comput. Math. Math. Phys. 46(2), 195-05 (2006) CrossRef
  11. Tsarkov, I.G.: Theorems on smoothness of right-inverse operator. East J. Approx. 1(4), 441-50 (1995)
  12. Arutyunov, A.V., Gel’man, B.D.: On the structure of coincidence points set. To appear in Mat. Sbornik (2014)
  13. Slezak, W.A.: Concerning continuous selectors for multifunctions with nonconvex values. Probl. Math. 9, 85-04 (1988)
  14. Chistyakov, V.V., Galkin, O.E.: On maps of bounded / p-variation with / p > 1. Positivity 2(1), 19-5 (1998) CrossRef
  
• 作者单位：Aram Arutyunov (1)
  Sergey Zhukovskiy (1)
  
  1. Peoples-Friendship University of Russia, 117198, M.-Maklaya str., 6, Moscow, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1877-0541

文摘

The coincidence points existence problem with a parameter is considered. Sufficient conditions for dependence of a coincidence point on a parameter to be continuous, H?lder continuous or Lipschitz continuous are obtained.