On φ-contractions and fixed point results in fuzzy metric spaces
In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison func...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2023-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/17130 |
| _version_ | 1827801814137831424 |
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| author | Morteza Saheli Seyed Ali Mohammad Mohsenialhosseini Hadi Saeidi Goraghani |
| author_facet | Morteza Saheli Seyed Ali Mohammad Mohsenialhosseini Hadi Saeidi Goraghani |
| author_sort | Morteza Saheli |
| collection | DOAJ |
| description | In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison functions, and the existence of fixed points for nonlinear maps on fuzzy metric spaces is studied. Moreover, some examples are given to illustrate our results. |
| first_indexed | 2024-03-11T20:30:47Z |
| format | Article |
| id | doaj.art-db81235310fe4d2abc1e60638a2baadf |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-03-11T20:30:47Z |
| publishDate | 2023-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-db81235310fe4d2abc1e60638a2baadf2023-10-02T09:44:07ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472023-10-0124246948310.4995/agt.2023.1713014012On φ-contractions and fixed point results in fuzzy metric spacesMorteza Saheli0https://orcid.org/0000-0002-8368-1598Seyed Ali Mohammad Mohsenialhosseini1https://orcid.org/0000-0002-0166-6184Hadi Saeidi Goraghani2https://orcid.org/0000-0003-4590-5519Vali Asr University of Rafsanjan Vali Asr University of Rafsanjan Payame Noor University In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison functions, and the existence of fixed points for nonlinear maps on fuzzy metric spaces is studied. Moreover, some examples are given to illustrate our results.https://polipapers.upv.es/index.php/AGT/article/view/17130φ-contractionweak φ-contractionfuzzy metric spacemultiple fixed pointcomparison function |
| spellingShingle | Morteza Saheli Seyed Ali Mohammad Mohsenialhosseini Hadi Saeidi Goraghani On φ-contractions and fixed point results in fuzzy metric spaces Applied General Topology φ-contraction weak φ-contraction fuzzy metric space multiple fixed point comparison function |
| title | On φ-contractions and fixed point results in fuzzy metric spaces |
| title_full | On φ-contractions and fixed point results in fuzzy metric spaces |
| title_fullStr | On φ-contractions and fixed point results in fuzzy metric spaces |
| title_full_unstemmed | On φ-contractions and fixed point results in fuzzy metric spaces |
| title_short | On φ-contractions and fixed point results in fuzzy metric spaces |
| title_sort | on φ contractions and fixed point results in fuzzy metric spaces |
| topic | φ-contraction weak φ-contraction fuzzy metric space multiple fixed point comparison function |
| url | https://polipapers.upv.es/index.php/AGT/article/view/17130 |
| work_keys_str_mv | AT mortezasaheli onphcontractionsandfixedpointresultsinfuzzymetricspaces AT seyedalimohammadmohsenialhosseini onphcontractionsandfixedpointresultsinfuzzymetricspaces AT hadisaeidigoraghani onphcontractionsandfixedpointresultsinfuzzymetricspaces |