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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. View Full-Text
Keywords: Z-contraction; simulation functions; b-metric Z-contraction; simulation functions; b-metric
MDPI and ACS Style

A. Alghamdi, M.; Gulyaz-Ozyurt, S.; Karapınar, E. A Note on Extended Z-Contraction. Mathematics 2020, 8, 195. https://doi.org/10.3390/math8020195

AMA Style

A. Alghamdi M, Gulyaz-Ozyurt S, Karapınar E. A Note on Extended Z-Contraction. Mathematics. 2020; 8(2):195. https://doi.org/10.3390/math8020195

Chicago/Turabian Style

A. Alghamdi, Maryam; Gulyaz-Ozyurt, Selma; Karapınar, Erdal. 2020. "A Note on Extended Z-Contraction" Mathematics 8, no. 2: 195. https://doi.org/10.3390/math8020195

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