Next Article in Journal
Determining Weights in Multi-Criteria Decision Making Based on Negation of Probability Distribution under Uncertain Environment
Next Article in Special Issue
Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results
Previous Article in Journal
On the Total Outer k-Independent Domination Number of Graphs
Previous Article in Special Issue
A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces
Open AccessArticle

A Note on Extended Z-Contraction

1
Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Sivas Cumhuriyet University, 58140 Sivas, Turkey
3
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 195; https://doi.org/10.3390/math8020195
Received: 10 January 2020 / Revised: 27 January 2020 / Accepted: 31 January 2020 / Published: 5 February 2020
In this article, we aim to evaluate and merge the as-scattered-as-possible results in fixed point theory from a general framework. In particular, we considered a common fixed point theorem via extended Z-contraction with respect to ψ -simulation function over an auxiliary function ξ in the setting of b-metric space. We investigated both the existence and uniqueness of common fixed points of such mappings. We used an example to illustrate the main result observed. Our main results cover several existing results in the corresponding literature.
Keywords: Z-contraction; simulation functions; b-metric Z-contraction; simulation functions; b-metric
MDPI and ACS Style

Alghamdi, M.A.; Gulyaz-Ozyurt, S.; Karapınar, E. A Note on Extended Z-Contraction. Mathematics 2020, 8, 195.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop