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Pseudo-contractivity and Metric Regularity in Fixed Point Theory

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Abstract

In this paper, we will prove some fixed point results for multi-valued almost pseudo-contractions in some generalized metric spaces. Data dependence theorems and some applications to multi-valued coincidence problems are also given.

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Acknowledgements

The authors are grateful to the referees for their helpful comments and to the guest editors for constructive ideas. The first two authors extend their sincere thanks to Professor J.-C. Yao for supporting, by the Grant MOST 105-2115-M-039-002-MY3, the scientific visit to NSYSU Kaohsiung, Taiwan. J.-C. Yao was partially supported by the Grant MOST 105-2221-E-039-009-MY3.

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Authors and Affiliations

  1. Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania

    Adrian Petruşel & Gabriela Petruşel

  2. Academy of Romanian Scientists Bucharest, Bucharest, Romania

    Adrian Petruşel

  3. Center for General Education Taichung 404, China Medical University, Taichung, Taiwan

    Jen-Chih Yao

Authors
  1. Adrian Petruşel
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  2. Gabriela Petruşel
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  3. Jen-Chih Yao
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Corresponding author

Correspondence to Adrian Petruşel.

Additional information

Dedicated to Aram Arutyunov on the occasion of his 60th birthday.

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Petruşel, A., Petruşel, G. & Yao, JC. Pseudo-contractivity and Metric Regularity in Fixed Point Theory. J Optim Theory Appl 180, 5–18 (2019). https://doi.org/10.1007/s10957-018-1271-z

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  • DOI: https://doi.org/10.1007/s10957-018-1271-z

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