Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in p...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844020316285 |
| _version_ | 1818995842218983424 |
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| author | Godwin Amechi Okeke Daniel Francis Manuel de la Sen |
| author_facet | Godwin Amechi Okeke Daniel Francis Manuel de la Sen |
| author_sort | Godwin Amechi Okeke |
| collection | DOAJ |
| description | We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space Xω. |
| first_indexed | 2024-12-20T21:20:16Z |
| format | Article |
| id | doaj.art-32a40b4fb2c64d72905e9d129bdf2b43 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-20T21:20:16Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-32a40b4fb2c64d72905e9d129bdf2b432022-12-21T19:26:18ZengElsevierHeliyon2405-84402020-08-0168e04785Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applicationsGodwin Amechi Okeke0Daniel Francis1Manuel de la Sen2Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, Nigeria; Corresponding author.Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, NigeriaInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia) - P.O. Box 644- Bilbao, Barrio Sarriena, 48940- Leioa, SpainWe prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space Xω.http://www.sciencedirect.com/science/article/pii/S2405844020316285Fixed pointModular metric spacesBarbashin-type integrodifferential equationExistence and uniqueness |
| spellingShingle | Godwin Amechi Okeke Daniel Francis Manuel de la Sen Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications Heliyon Fixed point Modular metric spaces Barbashin-type integrodifferential equation Existence and uniqueness |
| title | Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| title_full | Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| title_fullStr | Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| title_full_unstemmed | Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| title_short | Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| title_sort | some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications |
| topic | Fixed point Modular metric spaces Barbashin-type integrodifferential equation Existence and uniqueness |
| url | http://www.sciencedirect.com/science/article/pii/S2405844020316285 |
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