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Fixed Point Theorems for Classes of Nonlinear Mappings of Contractive Type

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Abstract

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

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Acknowledgements

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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Authors and Affiliations

  1. The Technion – Israel Institute of Technology, Haifa, Israel

    Simeon Reich & Alexander J. Zaslavski

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  1. Simeon Reich
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  2. Alexander J. Zaslavski
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Correspondence to Alexander J. Zaslavski.

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Reich, S., Zaslavski, A.J. Fixed Point Theorems for Classes of Nonlinear Mappings of Contractive Type. J Optim Theory Appl 180, 19–33 (2019). https://doi.org/10.1007/s10957-018-1368-4

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  • DOI: https://doi.org/10.1007/s10957-018-1368-4

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