Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions
Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equatio...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7915448 |
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| _version_ | 1832546093764706304 |
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| author | Fahad Sameer Alshammari K. P. Reshma Rajagopalan R. Reny George |
| author_facet | Fahad Sameer Alshammari K. P. Reshma Rajagopalan R. Reny George |
| author_sort | Fahad Sameer Alshammari |
| collection | DOAJ |
| description | Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equation involving Presic type operators is also discussed. Our results extend and generalise some known results in the literature. The results are supported by appropriate example and an application to Caratheodory type integral equation. |
| format | Article |
| id | doaj-art-de59172cdd424e759d540b2d1bb87b23 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-de59172cdd424e759d540b2d1bb87b232025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/79154487915448Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type FunctionsFahad Sameer Alshammari0K. P. Reshma1Rajagopalan R.2Reny George3Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, Rungta College of Engineering and Technology, Bhilai, Chhattisgarh, IndiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaExtending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equation involving Presic type operators is also discussed. Our results extend and generalise some known results in the literature. The results are supported by appropriate example and an application to Caratheodory type integral equation.http://dx.doi.org/10.1155/2021/7915448 |
| spellingShingle | Fahad Sameer Alshammari K. P. Reshma Rajagopalan R. Reny George Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions Journal of Mathematics |
| title | Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions |
| title_full | Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions |
| title_fullStr | Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions |
| title_full_unstemmed | Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions |
| title_short | Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions |
| title_sort | generalised presic type operators in modular metric space and an application to integral equations of caratheodory type functions |
| url | http://dx.doi.org/10.1155/2021/7915448 |
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