Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications
In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. Four exampl...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6648527 |
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| _version_ | 1832561293626703872 |
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| author | Haiyan Gao Na Liu Liangshi Zhao |
| author_facet | Haiyan Gao Na Liu Liangshi Zhao |
| author_sort | Haiyan Gao |
| collection | DOAJ |
| description | In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. Four examples are given. |
| format | Article |
| id | doaj-art-82e473248be84971ab891bc69cfb9192 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-82e473248be84971ab891bc69cfb91922025-02-03T01:25:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66485276648527Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and ApplicationsHaiyan Gao0Na Liu1Liangshi Zhao2School of Mathematics, Dongbei University of Finance and Economics, Dalian, Liaoning 116025, ChinaDepartment of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaCenter for Studies of Marine Economy and Sustainable Development, Liaoning Normal University, Dalian, Liaoning 116029, ChinaIn this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. Four examples are given.http://dx.doi.org/10.1155/2021/6648527 |
| spellingShingle | Haiyan Gao Na Liu Liangshi Zhao Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications Journal of Function Spaces |
| title | Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications |
| title_full | Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications |
| title_fullStr | Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications |
| title_full_unstemmed | Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications |
| title_short | Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications |
| title_sort | fixed points for contractive mappings of integral type involving ω distance and applications |
| url | http://dx.doi.org/10.1155/2021/6648527 |
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