Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions
In this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1432 |
| _version_ | 1797555490761211904 |
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| author | Alireza Pourmoslemi Shayesteh Rezaei Tahereh Nazari Mehdi Salimi |
| author_facet | Alireza Pourmoslemi Shayesteh Rezaei Tahereh Nazari Mehdi Salimi |
| author_sort | Alireza Pourmoslemi |
| collection | DOAJ |
| description | In this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixed point theorems which are generalizations of Kannan and Reich fixed points. |
| first_indexed | 2024-03-10T16:48:16Z |
| format | Article |
| id | doaj.art-d7105dccc42d4fcc8a7276a5abc0212b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:48:16Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d7105dccc42d4fcc8a7276a5abc0212b2023-11-20T11:26:51ZengMDPI AGMathematics2227-73902020-08-0189143210.3390/math8091432Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance FunctionsAlireza Pourmoslemi0Shayesteh Rezaei1Tahereh Nazari2Mehdi Salimi3Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, IranDepartement of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz 6861885914, IranDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, IranCenter for Dynamics and Institute for Analysis, Department of Mathematics, Technische Universität Dresden, 01069 Dresden, GermanyIn this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixed point theorems which are generalizations of Kannan and Reich fixed points.https://www.mdpi.com/2227-7390/8/9/1432generalized contractionscomplete metric spacefixed pointssequentially convergent mappingssubadditive altering distance functions |
| spellingShingle | Alireza Pourmoslemi Shayesteh Rezaei Tahereh Nazari Mehdi Salimi Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions Mathematics generalized contractions complete metric space fixed points sequentially convergent mappings subadditive altering distance functions |
| title | Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions |
| title_full | Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions |
| title_fullStr | Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions |
| title_full_unstemmed | Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions |
| title_short | Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions |
| title_sort | generalizations of kannan and reich fixed point theorems using sequentially convergent mappings and subadditive altering distance functions |
| topic | generalized contractions complete metric space fixed points sequentially convergent mappings subadditive altering distance functions |
| url | https://www.mdpi.com/2227-7390/8/9/1432 |
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