On Generalized Pata Type Contractions
In this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-02-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/6/2/25 |
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| author | Geno Kadwin Jacob M. S. Khan Choonkil Park Sungsik Yun |
| author_facet | Geno Kadwin Jacob M. S. Khan Choonkil Park Sungsik Yun |
| author_sort | Geno Kadwin Jacob |
| collection | DOAJ |
| description | In this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, given by vittorino Pata. |
| first_indexed | 2024-12-17T01:44:09Z |
| format | Article |
| id | doaj.art-4a597397432f4281aeb47aab0edad5d5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-17T01:44:09Z |
| publishDate | 2018-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4a597397432f4281aeb47aab0edad5d52022-12-21T22:08:14ZengMDPI AGMathematics2227-73902018-02-01622510.3390/math6020025math6020025On Generalized Pata Type ContractionsGeno Kadwin Jacob0M. S. Khan1Choonkil Park2Sungsik Yun3Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, IndiaDepartment of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Muscat 123, Sultanate of OmanResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaDepartment of Financial Mathematics, Hanshin University, Gyeonggi-do 18101, KoreaIn this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on “A fixed point theorem in metric spaces”, given by vittorino Pata.http://www.mdpi.com/2227-7390/6/2/25Zamfirescu mappingPata mappingfixed pointproximity point |
| spellingShingle | Geno Kadwin Jacob M. S. Khan Choonkil Park Sungsik Yun On Generalized Pata Type Contractions Mathematics Zamfirescu mapping Pata mapping fixed point proximity point |
| title | On Generalized Pata Type Contractions |
| title_full | On Generalized Pata Type Contractions |
| title_fullStr | On Generalized Pata Type Contractions |
| title_full_unstemmed | On Generalized Pata Type Contractions |
| title_short | On Generalized Pata Type Contractions |
| title_sort | on generalized pata type contractions |
| topic | Zamfirescu mapping Pata mapping fixed point proximity point |
| url | http://www.mdpi.com/2227-7390/6/2/25 |
| work_keys_str_mv | AT genokadwinjacob ongeneralizedpatatypecontractions AT mskhan ongeneralizedpatatypecontractions AT choonkilpark ongeneralizedpatatypecontractions AT sungsikyun ongeneralizedpatatypecontractions |