Browsing by Author "Chen, Chi-Ming"

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A Discussion On Random Meir-Keeler Contractions
(MDPI AG, 2020) Karapınar, Erdal; Karapınar, Erdal; Chen, Chi-Ming; 19184
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-g 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. © 2020 by the authors.
Advances on the fixed point results via simulation function involving rational terms
(2021) Karapınar, Erdal; Chen, Chi-Ming; Alghamdi, Maryam A.; Fulga, Andreea; 19184
In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.
Nonunique coincidence point results via admissible mappings
(2021) Karapınar, Erdal; Chen, Chi-Ming; Fulga, Andreea; 19184
This paper is aimed at presenting some coincidence point results using admissible mapping in the framework of the partial b-metric spaces. Observed results of the article cover a number of existing works on the topic of "investigation of nonunique fixed points."We express an example to indicate the validity of the observed outcomes.
Soft fixed point theorems for the soft comparable contractions
(2021) Karapınar, Erdal; Xu, Zhi-Hao; Karapınar, Erdal; 19184
In this article, we introduce the notions of a soft inf -comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature. Copyright © 2021 Chi-Ming Chen et al. 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.