Related Fixed Point Theorems via General Approach of Simulations Functions
In this work, we extend and complement some results in view of general and wider structures, such as b−metric spaces. By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simula...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4820191 |
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| _version_ | 1832550374496534528 |
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| author | Kastriot Zoto Nabil Mlaiki Hassen Aydi |
| author_facet | Kastriot Zoto Nabil Mlaiki Hassen Aydi |
| author_sort | Kastriot Zoto |
| collection | DOAJ |
| description | In this work, we extend and complement some results in view of general and wider structures, such as b−metric spaces. By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ−s simulation functions, and also types of κψ−s− contractions in a more general framework. This approach covers, extends, and unifies several published works in the early and late literature. |
| format | Article |
| id | doaj-art-bf091a2525524428bdacd57cadc3f5b9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bf091a2525524428bdacd57cadc3f5b92025-02-03T06:06:55ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/48201914820191Related Fixed Point Theorems via General Approach of Simulations FunctionsKastriot Zoto0Nabil Mlaiki1Hassen Aydi2Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, AlbaniaDepartment of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi ArabiaNonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamIn this work, we extend and complement some results in view of general and wider structures, such as b−metric spaces. By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ−s simulation functions, and also types of κψ−s− contractions in a more general framework. This approach covers, extends, and unifies several published works in the early and late literature.http://dx.doi.org/10.1155/2020/4820191 |
| spellingShingle | Kastriot Zoto Nabil Mlaiki Hassen Aydi Related Fixed Point Theorems via General Approach of Simulations Functions Journal of Mathematics |
| title | Related Fixed Point Theorems via General Approach of Simulations Functions |
| title_full | Related Fixed Point Theorems via General Approach of Simulations Functions |
| title_fullStr | Related Fixed Point Theorems via General Approach of Simulations Functions |
| title_full_unstemmed | Related Fixed Point Theorems via General Approach of Simulations Functions |
| title_short | Related Fixed Point Theorems via General Approach of Simulations Functions |
| title_sort | related fixed point theorems via general approach of simulations functions |
| url | http://dx.doi.org/10.1155/2020/4820191 |
| work_keys_str_mv | AT kastriotzoto relatedfixedpointtheoremsviageneralapproachofsimulationsfunctions AT nabilmlaiki relatedfixedpointtheoremsviageneralapproachofsimulationsfunctions AT hassenaydi relatedfixedpointtheoremsviageneralapproachofsimulationsfunctions |