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

1
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
2
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
3
Department of Mathematics, Faculty of Experimental Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(11), 262; https://doi.org/10.3390/math6110262
Received: 29 September 2018 / Revised: 9 November 2018 / Accepted: 9 November 2018 / Published: 18 November 2018
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
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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. View Full-Text
Keywords: random best proximity point; simulation function; admissible mapping random best proximity point; simulation function; admissible mapping
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kongban, C.; Kumam, P.; Martínez-Moreno, J. Random Best Proximity Points for α-Admissible Mappings via Simulation Functions. Mathematics 2018, 6, 262.

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