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

Anwar Bataihah, Wasfi Shatanawi, Tariq Qawasmeh and Raed Hatamleh
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Anwar Bataihah: Department of mathematics, School of Science, University of Jordan, Amman 11942, Jordan
Wasfi Shatanawi: Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
Tariq Qawasmeh: Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, Jordan
Raed Hatamleh: Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, Jordan

Mathematics, 2020, vol. 8, issue 5, 1-14

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 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.

Keywords: b -metric spaces; ?t -distance mappings; simulation functions; ?-simulation functions; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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