Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications
Abstract In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point theorem in metric spaces. These theorems ge...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13663-018-0628-1 |
| _version_ | 1818727558118637568 |
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| author | Seonghoon Cho |
| author_facet | Seonghoon Cho |
| author_sort | Seonghoon Cho |
| collection | DOAJ |
| description | Abstract In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point theorem in metric spaces. These theorems generalize many previously obtained fixed point results. An example is given to illustrate the main result. Finally, we give applications of our results to fixed point results in partial metric spaces. |
| first_indexed | 2024-12-17T22:16:00Z |
| format | Article |
| id | doaj.art-88990e4888ad4aeab7a53390ff7c1d66 |
| institution | Directory Open Access Journal |
| issn | 1687-1812 |
| language | English |
| last_indexed | 2024-12-17T22:16:00Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-88990e4888ad4aeab7a53390ff7c1d662022-12-21T21:30:36ZengSpringerOpenFixed Point Theory and Applications1687-18122018-02-012018111810.1186/s13663-018-0628-1Fixed point theorems for generalized weakly contractive mappings in metric spaces with applicationsSeonghoon Cho0Department of Mathematics, Hanseo UniversityAbstract In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point theorem in metric spaces. These theorems generalize many previously obtained fixed point results. An example is given to illustrate the main result. Finally, we give applications of our results to fixed point results in partial metric spaces.http://link.springer.com/article/10.1186/s13663-018-0628-1fixed pointcoupled fixed pointgeneralized weak contractive mapping |
| spellingShingle | Seonghoon Cho Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications Fixed Point Theory and Applications fixed point coupled fixed point generalized weak contractive mapping |
| title | Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| title_full | Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| title_fullStr | Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| title_full_unstemmed | Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| title_short | Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| title_sort | fixed point theorems for generalized weakly contractive mappings in metric spaces with applications |
| topic | fixed point coupled fixed point generalized weak contractive mapping |
| url | http://link.springer.com/article/10.1186/s13663-018-0628-1 |
| work_keys_str_mv | AT seonghooncho fixedpointtheoremsforgeneralizedweaklycontractivemappingsinmetricspaceswithapplications |