On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications
The main aim of this work is to introduce the new concept of λ−Υ,χ-contraction self-mappings and prove the existence of χ-fixed points for such mappings in metric spaces. Our results generalize and improve some results in existing literature. Moreover, some fixed point results in partial metric spac...
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| Main Authors: | , , |
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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/10.1155/2021/6626660 |
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| _version_ | 1832546789892292608 |
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| author | Babak Mohammadi Wutiphol Sintunavarat Vahid Parvaneh |
| author_facet | Babak Mohammadi Wutiphol Sintunavarat Vahid Parvaneh |
| author_sort | Babak Mohammadi |
| collection | DOAJ |
| description | The main aim of this work is to introduce the new concept of λ−Υ,χ-contraction self-mappings and prove the existence of χ-fixed points for such mappings in metric spaces. Our results generalize and improve some results in existing literature. Moreover, some fixed point results in partial metric spaces can be derived from our χ-fixed points results. Finally, the existence of solutions of nonlinear integral equations is investigated via the theoretical results in this work. |
| format | Article |
| id | doaj-art-21f65573b12e4333bb3f6fa8c106a021 |
| 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-21f65573b12e4333bb3f6fa8c106a0212025-02-03T06:47:04ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66266606626660On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with ApplicationsBabak Mohammadi0Wutiphol Sintunavarat1Vahid Parvaneh2Department of Mathematics, Marand Branch, Islamic Azad University, Marand, IranDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12120, ThailandDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranThe main aim of this work is to introduce the new concept of λ−Υ,χ-contraction self-mappings and prove the existence of χ-fixed points for such mappings in metric spaces. Our results generalize and improve some results in existing literature. Moreover, some fixed point results in partial metric spaces can be derived from our χ-fixed points results. Finally, the existence of solutions of nonlinear integral equations is investigated via the theoretical results in this work.http://dx.doi.org/10.1155/2021/6626660 |
| spellingShingle | Babak Mohammadi Wutiphol Sintunavarat Vahid Parvaneh On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications Journal of Mathematics |
| title | On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications |
| title_full | On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications |
| title_fullStr | On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications |
| title_full_unstemmed | On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications |
| title_short | On New χ-Fixed Point Results for λ−Υ,χ-Contractions in Complete Metric Spaces with Applications |
| title_sort | on new χ fixed point results for λ υ χ contractions in complete metric spaces with applications |
| url | http://dx.doi.org/10.1155/2021/6626660 |
| work_keys_str_mv | AT babakmohammadi onnewchfixedpointresultsforlychcontractionsincompletemetricspaceswithapplications AT wutipholsintunavarat onnewchfixedpointresultsforlychcontractionsincompletemetricspaceswithapplications AT vahidparvaneh onnewchfixedpointresultsforlychcontractionsincompletemetricspaceswithapplications |