Revisiting of some outstanding metric fixed point theorems via E-contraction
In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2018-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2018-0034 |
| _version_ | 1818307413532475392 |
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| author | Fulga Andreea Karapınar Erdal |
| author_facet | Fulga Andreea Karapınar Erdal |
| author_sort | Fulga Andreea |
| collection | DOAJ |
| description | In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle. |
| first_indexed | 2024-12-13T06:57:59Z |
| format | Article |
| id | doaj.art-7fc9edfec08b4380ac02fd85d1c1fd6d |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:57:59Z |
| publishDate | 2018-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-7fc9edfec08b4380ac02fd85d1c1fd6d2022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352018-12-01263739810.2478/auom-2018-0034Revisiting of some outstanding metric fixed point theorems via E-contractionFulga Andreea0Karapınar Erdal1Department of Mathematics and Computer SciencesUniversitatea Transilvania Brasov, Str. Iuliu Maniu 50, 500091, Brasov, Romania.Atilim University, Department of Mathematics,06836, İncek, Ankara, TurkeyIn this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.https://doi.org/10.2478/auom-2018-0034α-ψ-contractive mapping of typefixed pointmetric spaceprimary 46t99, 47h10secondary 54h25 |
| spellingShingle | Fulga Andreea Karapınar Erdal Revisiting of some outstanding metric fixed point theorems via E-contraction Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica α-ψ-contractive mapping of type fixed point metric space primary 46t99, 47h10 secondary 54h25 |
| title | Revisiting of some outstanding metric fixed point theorems via E-contraction |
| title_full | Revisiting of some outstanding metric fixed point theorems via E-contraction |
| title_fullStr | Revisiting of some outstanding metric fixed point theorems via E-contraction |
| title_full_unstemmed | Revisiting of some outstanding metric fixed point theorems via E-contraction |
| title_short | Revisiting of some outstanding metric fixed point theorems via E-contraction |
| title_sort | revisiting of some outstanding metric fixed point theorems via e contraction |
| topic | α-ψ-contractive mapping of type fixed point metric space primary 46t99, 47h10 secondary 54h25 |
| url | https://doi.org/10.2478/auom-2018-0034 |
| work_keys_str_mv | AT fulgaandreea revisitingofsomeoutstandingmetricfixedpointtheoremsviaecontraction AT karapınarerdal revisitingofsomeoutstandingmetricfixedpointtheoremsviaecontraction |