On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application
Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings <inline-formula><math display="inline"><semantics><mrow><mi>S</mi><mo>:</mo><mi>X</mi><mo>×</mo><mi>X</mi>...
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MDPI AG
2020-11-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/4/129 |
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| author | Reny George Zoran D. Mitrović Stojan Radenović |
| author_facet | Reny George Zoran D. Mitrović Stojan Radenović |
| author_sort | Reny George |
| collection | DOAJ |
| description | Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings <inline-formula><math display="inline"><semantics><mrow><mi>S</mi><mo>:</mo><mi>X</mi><mo>×</mo><mi>X</mi><mo>→</mo><mi>X</mi></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi>g</mi><mo>:</mo><mi>X</mi><mo>→</mo><mi>X</mi></mrow></semantics></math></inline-formula> in a <inline-formula><math display="inline"><semantics><mrow><msub><mi>b</mi><mi>v</mi></msub><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>-metric space, which generalize, extend, and improve some recent results on coupled fixed points. As an application, we prove an existence and uniqueness theorem for the solution of a system of nonlinear integral equations under some weaker conditions and given a convergence criteria for the unique solution, which has been properly verified by using suitable example. |
| first_indexed | 2024-03-10T14:59:11Z |
| format | Article |
| id | doaj.art-bff3aa35452a4db0b8025b5246c9b137 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T14:59:11Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-bff3aa35452a4db0b8025b5246c9b1372023-11-20T20:19:05ZengMDPI AGAxioms2075-16802020-11-019412910.3390/axioms9040129On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its ApplicationReny George0Zoran D. Mitrović1Stojan Radenović2Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaFaculty of Electrical Emgineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, SerbiaCommon coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings <inline-formula><math display="inline"><semantics><mrow><mi>S</mi><mo>:</mo><mi>X</mi><mo>×</mo><mi>X</mi><mo>→</mo><mi>X</mi></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi>g</mi><mo>:</mo><mi>X</mi><mo>→</mo><mi>X</mi></mrow></semantics></math></inline-formula> in a <inline-formula><math display="inline"><semantics><mrow><msub><mi>b</mi><mi>v</mi></msub><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>-metric space, which generalize, extend, and improve some recent results on coupled fixed points. As an application, we prove an existence and uniqueness theorem for the solution of a system of nonlinear integral equations under some weaker conditions and given a convergence criteria for the unique solution, which has been properly verified by using suitable example.https://www.mdpi.com/2075-1680/9/4/129common coupled fixed point<i>b<sub>v</sub></i>(<i>s</i>)-metric spaceT-contractionweakly compatible mapping |
| spellingShingle | Reny George Zoran D. Mitrović Stojan Radenović On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application Axioms common coupled fixed point <i>b<sub>v</sub></i>(<i>s</i>)-metric space T-contraction weakly compatible mapping |
| title | On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application |
| title_full | On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application |
| title_fullStr | On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application |
| title_full_unstemmed | On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application |
| title_short | On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b<sub>v</sub></i>(<i>s</i>)-Metric Space and Its Application |
| title_sort | on some coupled fixed points of generalized t contraction mappings in a i b sub v sub i i s i metric space and its application |
| topic | common coupled fixed point <i>b<sub>v</sub></i>(<i>s</i>)-metric space T-contraction weakly compatible mapping |
| url | https://www.mdpi.com/2075-1680/9/4/129 |
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