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Pseudo-contractivity and Metric Regularity in Fixed Point Theory

Author

Listed:
  • Adrian Petruşel

    (Babeş-Bolyai University Cluj-Napoca
    Academy of Romanian Scientists Bucharest)

  • Gabriela Petruşel

    (Babeş-Bolyai University Cluj-Napoca)

  • Jen-Chih Yao

    (China Medical University)

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.

Suggested Citation

  • Adrian Petruşel & Gabriela Petruşel & Jen-Chih Yao, 2019. "Pseudo-contractivity and Metric Regularity in Fixed Point Theory," Journal of Optimization Theory and Applications, Springer, vol. 180(1), pages 5-18, January.
    • Handle: RePEc:spr:joptap:v:180:y:2019:i:1:d:10.1007_s10957-018-1271-z
    DOI: 10.1007/s10957-018-1271-z
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    References listed on IDEAS

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    1. Jean-Pierre Aubin, 1984. "Lipschitz Behavior of Solutions to Convex Minimization Problems," Mathematics of Operations Research, INFORMS, vol. 9(1), pages 87-111, February.
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