Solvability of integral equations via the technique of measures of noncompactness
Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. The existence of solution for a system of integral equations is provided and an example to...
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/3617 |
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| author | Babak Mohammadi Mohammad Mursaleen Vahid Parvaneh |
| author_facet | Babak Mohammadi Mohammad Mursaleen Vahid Parvaneh |
| author_sort | Babak Mohammadi |
| collection | DOAJ |
| description | Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. The existence of solution for a system of integral equations is provided and an example to support the effectiveness of our results is also given. Our results generalize and extend some famous comparable obtained results. |
| format | Article |
| id | doaj-art-c0dfeb0a89e34736abb68564320131d1 |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-c0dfeb0a89e34736abb68564320131d12025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125290710.18514/MMN.2024.3617Solvability of integral equations via the technique of measures of noncompactnessBabak MohammadiMohammad MursaleenVahid ParvanehMotivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. The existence of solution for a system of integral equations is provided and an example to support the effectiveness of our results is also given. Our results generalize and extend some famous comparable obtained results.http://mat76.mat.uni-miskolc.hu/mnotes/article/3617 |
| spellingShingle | Babak Mohammadi Mohammad Mursaleen Vahid Parvaneh Solvability of integral equations via the technique of measures of noncompactness Miskolc Mathematical Notes |
| title | Solvability of integral equations via the technique of measures of noncompactness |
| title_full | Solvability of integral equations via the technique of measures of noncompactness |
| title_fullStr | Solvability of integral equations via the technique of measures of noncompactness |
| title_full_unstemmed | Solvability of integral equations via the technique of measures of noncompactness |
| title_short | Solvability of integral equations via the technique of measures of noncompactness |
| title_sort | solvability of integral equations via the technique of measures of noncompactness |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/3617 |
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