A Discussion on Random Meir-Keeler Contractions

Cheng-Yen Li, Erdal Karapınar and Chi-Ming Chen
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Cheng-Yen Li: Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan
Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Chi-Ming Chen: Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan

Mathematics, 2020, vol. 8, issue 2, 1-10

Abstract: The aim of this paper is to enrich random fixed point theory, which is one of the cornerstones of probabilistic functional analysis. In this paper, we introduce the notions of random, comparable MT- γ contraction and random, comparable Meir-Keeler contraction in the framework of complete random metric spaces. We investigate the existence of a random fixed point for these contractions. We express illustrative examples to support the presented results.

Keywords: random fixed point; random metric space; probabilistic functional analysis; random comparable MT-? contraction; random, comparable Meir-Keeler contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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