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Open AccessArticle

A Discussion on Random Meir-Keeler Contractions

1
Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan
2
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 245; https://doi.org/10.3390/math8020245 (registering DOI)
Received: 21 December 2019 / Revised: 28 January 2020 / Accepted: 6 February 2020 / Published: 14 February 2020
(This article belongs to the Section Dynamical Systems)
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. View Full-Text
Keywords: random fixed point; random metric space; probabilistic functional analysis; random comparable MT-γ contraction; random, comparable Meir-Keeler contraction random fixed point; random metric space; probabilistic functional analysis; random comparable MT-γ contraction; random, comparable Meir-Keeler contraction
MDPI and ACS Style

Li, C.-Y.; Karapınar, E.; Chen, C.-M. A Discussion on Random Meir-Keeler Contractions. Mathematics 2020, 8, 245.

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