Periodic and fixed points for F-type contractions in b-gauge spaces
In this paper, we introduce $ \mathcal{J}_{s; \Omega} $-families of generalized pseudo-$ b $-distances in $ b $-gauge spaces $ (U, {Q}_{s; \Omega}) $. Moreover, by using these $ \mathcal{J}_{s; \Omega} $-families on $ U $, we define the $ \mathcal{J}_{s; \Omega} $-sequential completeness and constru...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221013?viewType=HTML |
| _version_ | 1828148649488547840 |
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| author | Nosheen Zikria Aiman Mukheimer Maria Samreen Tayyab Kamran Hassen Aydi Kamal Abodayeh |
| author_facet | Nosheen Zikria Aiman Mukheimer Maria Samreen Tayyab Kamran Hassen Aydi Kamal Abodayeh |
| author_sort | Nosheen Zikria |
| collection | DOAJ |
| description | In this paper, we introduce $ \mathcal{J}_{s; \Omega} $-families of generalized pseudo-$ b $-distances in $ b $-gauge spaces $ (U, {Q}_{s; \Omega}) $. Moreover, by using these $ \mathcal{J}_{s; \Omega} $-families on $ U $, we define the $ \mathcal{J}_{s; \Omega} $-sequential completeness and construct an $ F $-type contraction $ T:U\rightarrow U $. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of $ b $-gauge spaces using $ \mathcal{J}_{s; \Omega} $-families on $ U $, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation. |
| first_indexed | 2024-04-11T21:18:04Z |
| format | Article |
| id | doaj.art-e7a7c98fd2bc4892be3c692cc05cf398 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T21:18:04Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e7a7c98fd2bc4892be3c692cc05cf3982022-12-22T04:02:45ZengAIMS PressAIMS Mathematics2473-69882022-08-01710183931841510.3934/math.20221013Periodic and fixed points for F-type contractions in b-gauge spacesNosheen Zikria 0Aiman Mukheimer 1Maria Samreen2Tayyab Kamran3Hassen Aydi 4Kamal Abodayeh 51. Department of Mathematics, Quaid-i-Azam university, Islamabad, Pakistan2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia1. Department of Mathematics, Quaid-i-Azam university, Islamabad, Pakistan1. Department of Mathematics, Quaid-i-Azam university, Islamabad, Pakistan3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this paper, we introduce $ \mathcal{J}_{s; \Omega} $-families of generalized pseudo-$ b $-distances in $ b $-gauge spaces $ (U, {Q}_{s; \Omega}) $. Moreover, by using these $ \mathcal{J}_{s; \Omega} $-families on $ U $, we define the $ \mathcal{J}_{s; \Omega} $-sequential completeness and construct an $ F $-type contraction $ T:U\rightarrow U $. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of $ b $-gauge spaces using $ \mathcal{J}_{s; \Omega} $-families on $ U $, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.https://www.aimspress.com/article/doi/10.3934/math.20221013?viewType=HTMLb-gauge spacegeneralized pseudo-b-distancef-contractionfixed pointperiodic point |
| spellingShingle | Nosheen Zikria Aiman Mukheimer Maria Samreen Tayyab Kamran Hassen Aydi Kamal Abodayeh Periodic and fixed points for F-type contractions in b-gauge spaces AIMS Mathematics b-gauge space generalized pseudo-b-distance f-contraction fixed point periodic point |
| title | Periodic and fixed points for F-type contractions in b-gauge spaces |
| title_full | Periodic and fixed points for F-type contractions in b-gauge spaces |
| title_fullStr | Periodic and fixed points for F-type contractions in b-gauge spaces |
| title_full_unstemmed | Periodic and fixed points for F-type contractions in b-gauge spaces |
| title_short | Periodic and fixed points for F-type contractions in b-gauge spaces |
| title_sort | periodic and fixed points for f type contractions in b gauge spaces |
| topic | b-gauge space generalized pseudo-b-distance f-contraction fixed point periodic point |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221013?viewType=HTML |
| work_keys_str_mv | AT nosheenzikria periodicandfixedpointsforftypecontractionsinbgaugespaces AT aimanmukheimer periodicandfixedpointsforftypecontractionsinbgaugespaces AT mariasamreen periodicandfixedpointsforftypecontractionsinbgaugespaces AT tayyabkamran periodicandfixedpointsforftypecontractionsinbgaugespaces AT hassenaydi periodicandfixedpointsforftypecontractionsinbgaugespaces AT kamalabodayeh periodicandfixedpointsforftypecontractionsinbgaugespaces |