On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations
The concepts of <i>b</i>-metric spaces and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ω</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-distance mappings play a key role...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/837 |
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| author | Anwar Bataihah Wasfi Shatanawi Tariq Qawasmeh Raed Hatamleh |
| author_facet | Anwar Bataihah Wasfi Shatanawi Tariq Qawasmeh Raed Hatamleh |
| author_sort | Anwar Bataihah |
| collection | DOAJ |
| description | The concepts of <i>b</i>-metric spaces and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ω</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-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, <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">H</mi> </semantics> </math> </inline-formula>-simulation function which is used in this manuscript together with the notion of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ω</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-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. |
| first_indexed | 2024-03-10T19:39:40Z |
| format | Article |
| id | doaj.art-5fb6c734052149238a405899024f21c0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:39:40Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5fb6c734052149238a405899024f21c02023-11-20T01:19:58ZengMDPI AGMathematics2227-73902020-05-018583710.3390/math8050837On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix EquationsAnwar Bataihah0Wasfi Shatanawi1Tariq Qawasmeh2Raed Hatamleh3Department of mathematics, School of Science, University of Jordan, Amman 11942, JordanDepartment of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, JordanDepartment of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 22110, JordanThe concepts of <i>b</i>-metric spaces and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ω</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-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, <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">H</mi> </semantics> </math> </inline-formula>-simulation function which is used in this manuscript together with the notion of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ω</mi> <mi>t</mi> </mrow> </semantics> </math> </inline-formula>-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.https://www.mdpi.com/2227-7390/8/5/837<i>b</i>-metric spaces<i>ωt</i>-distance mappingssimulation functionsℋ-simulation functionsfixed point |
| spellingShingle | Anwar Bataihah Wasfi Shatanawi Tariq Qawasmeh Raed Hatamleh On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations Mathematics <i>b</i>-metric spaces <i>ωt</i>-distance mappings simulation functions ℋ-simulation functions fixed point |
| title | On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations |
| title_full | On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations |
| title_fullStr | On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations |
| title_full_unstemmed | On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations |
| title_short | On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations |
| title_sort | on h simulation functions and fixed point results in the setting of i ωt i distance mappings with application on matrix equations |
| topic | <i>b</i>-metric spaces <i>ωt</i>-distance mappings simulation functions ℋ-simulation functions fixed point |
| url | https://www.mdpi.com/2227-7390/8/5/837 |
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