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

Chayut Kongban, Poom Kumam and Juan Martínez-Moreno
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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
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
Juan Martínez-Moreno: Department of Mathematics, Faculty of Experimental Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén, Spain

Mathematics, 2018, vol. 6, issue 11, 1-12

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.

Keywords: random best proximity point; simulation function; admissible mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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