Coincidence Points in Generalized Metric Spaces
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  • 作者:A. V. Arutyunov ; S. E. Zhukovskiy
  • 关键词:Covering mappings ; Generalized metric ; Coincidence points ; 54H25 ; 47H04
  • 刊名:Set-Valued and Variational Analysis
  • 出版年:2015
  • 出版时间:June 2015
  • 年:2015
  • 卷:23
  • 期:2
  • 页码:355-373
  • 全文大小:316 KB
  • 参考文献:1.Graves, L.M.: Some mapping theorems. Duke Math. J. 17:2, 111鈥?14 (1950)View Article MathSciNet
    2.Mordukhovich, B.S.: Approximation methods in optimization and control problems, Nauka, Moscow. [in Russian] (1988)
    3.Mordukhovich, B.S., Wang, B.: Restrictive metric regularity generalized differential calculus in Banach spaces. Inter. J. Maths. Math. Sci. 50, 2650鈥?683 (2004)MathSciNet
    4.Mordukhovich, B.S.: Variational Analysis and Generalized Differentiation, vol. 1. Springer, Berlin (2006)
    5.Mordukhovich, B.S., Nam, N.M., Wang, B.: Metric regularity of mappings and generalized normals to set images. Set-Valued Var. Anal. 17:4, 359鈥?87 (2009)View Article MathSciNet
    6.Mordukhovich, B.S., Shao, Y.: Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces. Nonlinear Anal. 25, 1401鈥?424 (1995)View Article MATH MathSciNet
    7.Dontchev, A.L., Rockafellar, R.T.: Implicit functions and solution mappings, Monographs in Mathematics. Springer (2009)
    8.Dontchev, A.L., Lewis, A.S.: Perturbations and metric regularity. Set-Valued Var. Anal. 13:4, 417鈥?38 (2005)View Article MathSciNet
    9.Uderzo, A.: A metric version of milyutin theorem. Set-Valued and Var. Anal. 20:2, 279鈥?06 (2011)MathSciNet
    10.Uderzo, A.: On mappings covering at a nonlinear rate and their perturbation stability. Nonlinear Analysis, Theory, Methods and Applications 75:3, 1602鈥?616 (2012)View Article MATH MathSciNet
    11.Arutyunov, A.V., Zhukovskiy, E.S., Zhukovskiy, S.E.: Covering mappings and well-posedness of nonlinear Volterra equations. Nonlinear Anal. 75:3, 1026鈥?044 (2012)View Article MATH MathSciNet
    12.Leventhal, D., Lewis, A.S.: Randomized methods for linear constraints: convergence rates and conditioning. Math. Oper. Res. 35:3, 641鈥?54 (2010)View Article MathSciNet
    13.Mordukhovich, B.S., Nam, N.M.: Variational stability and marginal functions via generalized differentiation. Math. Oper. Res. 30, 800鈥?16 (2005)View Article MATH MathSciNet
    14.Pang, C.H.J.: Generalized differentiation with positively homogeneous maps: applications in set-valued analysis and metric regularity. Math. Oper. Res. 36:3, 377鈥?97 (2011)View Article
    15.Arutyunov, A.V.: Covering mappings in metric spaces and fixed points. Dokl. Math. 72:2, 665鈥?68 (2007)View Article MathSciNet
    16.Arutyunov, A., Avakov, E., Gel鈥榤an B.B., Dmitruk A.A., Obukhovskii, V.: Locally covering maps in metric spaces and coincidence points. J. Fixed Points Theory Appl. 5:1, 105鈥?27 (2009)View Article
    17.Arutyunov, A.V.: Stability of coincidence points and properties of covering mappings. Math. Notes 86:2, 153鈥?58 (2009)View Article MathSciNet
    18.Pasynkov, B.A.: Fiberwise contraction mappings principle, to appear in Topology and its Appl. (2014)
    19.Luxemburg, W.A.J.: On the convergence of successive approximations in the theory of ordinary differential equations III. Nieun. Arch. Wisk 6, 93鈥?8 (1958)MATH MathSciNet
    20.Jung, C.F.K.: On generalized complete metric spaces. Bull. Amer. Math. Soc. 75:1, 113鈥?16 (1969)View Article
    21.Kornfeld, I.P., Sinay, Y.G., Fomin, S.V.: Ergodic Theory, Moscow, Nauka. [in Russian] (1980)
  • 作者单位:A. V. Arutyunov (1)
    S. E. Zhukovskiy (1)

    1. Peoples鈥?Friendship University of Russia, 117198, Miklukho-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
Covering mappings in generalized metric spaces are considered. The coincidence points theorems for single-valued and set-valued mappings are proved. The results obtained are applied to the problem of solvability of equations in the space of continuous functions.

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