Fixed Point Theorems for Classes of Nonlinear Mappings of Contractive Type

  • Simeon Reich
  • Alexander J. ZaslavskiEmail author


For certain classes of contractive mappings in complete metric spaces, we establish the existence of a fixed point which attracts all inexact orbits.


Complete metric space Fixed point Iterate 

Mathematics Subject Classification

47H09 47H10 54E50 54E52 



The first author was partially supported by the Israel Science Foundation (Grant 820/17), by the Fund for the Promotion of Research at the Technion and by the Technion General Research Fund.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.The Technion – Israel Institute of TechnologyHaifaIsrael

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