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Random Best Proximity Points for α -Admissible Mappings via Simulation Functions

Author

Listed:
  • Chayut Kongban

    (KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
    KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand)

  • Poom Kumam

    (KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
    KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand)

  • Juan Martínez-Moreno

    (Department of Mathematics, Faculty of Experimental Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén, Spain)

Abstract

In this paper, we introduce a new concept of random α -proximal admissible and random α - Z -contraction. Then we establish random best proximity point theorems for such mapping in complete separable metric spaces.

Suggested Citation

  • Chayut Kongban & Poom Kumam & Juan Martínez-Moreno, 2018. "Random Best Proximity Points for α -Admissible Mappings via Simulation Functions," Mathematics, MDPI, vol. 6(11), pages 1-12, November.
  • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:262-:d:183686
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