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Recent contributions to fixed point theory of monotone mappings

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Abstract

In this manuscript, we discuss the latest fixed point results of monotone mappings. The fixed point theory of such mappings has seen a tremendous interest in the last decade since the publication of Ran and Reurings paper in 2004. Fixed point theory for monotone mappings is useful and has many applications. For example when one is looking for a positive or negative solution, the use of the classical fixed point results is not adapted in this situation.

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Acknowledgements

The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this Research Group No. (RG-1435-079).

Conflict of interest The authors declare that they have no competing interests.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

    M. Bachar

  2. Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX, 79968, USA

    M. A. Khamsi

  3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    M. A. Khamsi

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  1. M. Bachar
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Correspondence to M. A. Khamsi.

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Bachar, M., Khamsi, M.A. Recent contributions to fixed point theory of monotone mappings. J. Fixed Point Theory Appl. 19, 1953–1976 (2017). https://doi.org/10.1007/s11784-016-0339-3

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