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Keywords = ωt-distance mappings

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14 pages, 311 KiB  
Article
On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations
by Anwar Bataihah, Wasfi Shatanawi, Tariq Qawasmeh and Raed Hatamleh
Mathematics 2020, 8(5), 837; https://doi.org/10.3390/math8050837 - 21 May 2020
Cited by 20 | Viewed by 2800
Abstract
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 [...] Read more.
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. Full article
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