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Open AccessArticle

On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations

1
Department of mathematics, School of Science, University of Jordan, Amman 11942, Jordan
2
Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
3
Department of Medical Research, China Medical University Hospital China Medical University, Taichung 40402, Taiwan
4
Department of M-Commerce and Multimedia Applications, Asia University, Taichung 41354, Taiwan
5
Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, Jordan
*
Author to whom correspondence should be addressed.
Current address: Department of Mathematics and general courses, Prince Sultan University, Riyadh, Saudi Arabia.
Mathematics 2020, 8(5), 837; https://doi.org/10.3390/math8050837
Received: 22 April 2020 / Revised: 16 May 2020 / Accepted: 19 May 2020 / Published: 21 May 2020
The concepts of b-metric spaces and ω t -distance mappings play a key role in solving various kinds of equations through fixed point theory in mathematics and other science. In this article, we study some fixed point results through these concepts. We introduce a new kind of function namely, H -simulation function which is used in this manuscript together with the notion of ω t -distance mappings to furnish for new contractions. Many fixed point results are proved based on these new contractions as well as some examples are introduced. Moreover, we introduce an application on matrix equations to focus on the importance of our work. View Full-Text
Keywords: b-metric spaces; ωt-distance mappings; simulation functions; ℋ-simulation functions; fixed point b-metric spaces; ωt-distance mappings; simulation functions; ℋ-simulation functions; fixed point
MDPI and ACS Style

Bataihah, A.; Shatanawi, W.; Qawasmeh, T.; Hatamleh, R. On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations. Mathematics 2020, 8, 837.

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