On Pata–Suzuki-Type Contractions
In this manuscript, we introduce two notions, Pata−Suzuki <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction and Pata <inline-formula&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/3/389 |
| _version_ | 1818519944522891264 |
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| author | Erdal Karapınar V. M. L. Hima Bindu |
| author_facet | Erdal Karapınar V. M. L. Hima Bindu |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | In this manuscript, we introduce two notions, Pata−Suzuki <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction and Pata <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction for the pair of self-mapping <inline-formula> <math display="inline"> <semantics> <mrow> <mi>g</mi> <mo>,</mo> <mi>f</mi> </mrow> </semantics> </math> </inline-formula> in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results. |
| first_indexed | 2024-12-11T01:30:48Z |
| format | Article |
| id | doaj.art-9b87bd1c52e74f91bad30dbfd16acde3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-11T01:30:48Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9b87bd1c52e74f91bad30dbfd16acde32022-12-22T01:25:21ZengMDPI AGMathematics2227-73902020-03-018338910.3390/math8030389math8030389On Pata–Suzuki-Type ContractionsErdal Karapınar0V. M. L. Hima Bindu1Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, TaiwanDepartment of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur 522 502, Andhra Pradesh, IndiaIn this manuscript, we introduce two notions, Pata−Suzuki <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction and Pata <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">Z</mi> </semantics> </math> </inline-formula>-contraction for the pair of self-mapping <inline-formula> <math display="inline"> <semantics> <mrow> <mi>g</mi> <mo>,</mo> <mi>f</mi> </mrow> </semantics> </math> </inline-formula> in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.https://www.mdpi.com/2227-7390/8/3/389simulation functionpata–suzuki <i>ƶ</i>-contraction<i>ƶ</i>-contraction<i>c</i>-condition |
| spellingShingle | Erdal Karapınar V. M. L. Hima Bindu On Pata–Suzuki-Type Contractions Mathematics simulation function pata–suzuki <i>ƶ</i>-contraction <i>ƶ</i>-contraction <i>c</i>-condition |
| title | On Pata–Suzuki-Type Contractions |
| title_full | On Pata–Suzuki-Type Contractions |
| title_fullStr | On Pata–Suzuki-Type Contractions |
| title_full_unstemmed | On Pata–Suzuki-Type Contractions |
| title_short | On Pata–Suzuki-Type Contractions |
| title_sort | on pata suzuki type contractions |
| topic | simulation function pata–suzuki <i>ƶ</i>-contraction <i>ƶ</i>-contraction <i>c</i>-condition |
| url | https://www.mdpi.com/2227-7390/8/3/389 |
| work_keys_str_mv | AT erdalkarapınar onpatasuzukitypecontractions AT vmlhimabindu onpatasuzukitypecontractions |