Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application
This article intends to initiate the study of Pompeiu–Hausdorff distance induced by an <i>M</i>-metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces. Moreover, the discussion is supported with the aid of compete...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/4/373 |
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| author | Pradip R. Patle Deepesh Kumar Patel Hassen Aydi Dhananjay Gopal Nabil Mlaiki |
| author_facet | Pradip R. Patle Deepesh Kumar Patel Hassen Aydi Dhananjay Gopal Nabil Mlaiki |
| author_sort | Pradip R. Patle |
| collection | DOAJ |
| description | This article intends to initiate the study of Pompeiu–Hausdorff distance induced by an <i>M</i>-metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces. Moreover, the discussion is supported with the aid of competent examples and a result on homotopy. This approach improves the current state of art in fixed point theory. |
| first_indexed | 2024-04-13T19:43:03Z |
| format | Article |
| id | doaj.art-43c430709fbc4819a2c13e909453a750 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T19:43:03Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-43c430709fbc4819a2c13e909453a7502022-12-22T02:32:49ZengMDPI AGMathematics2227-73902019-04-017437310.3390/math7040373math7040373Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an ApplicationPradip R. Patle0Deepesh Kumar Patel1Hassen Aydi2Dhananjay Gopal3Nabil Mlaiki4Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaDepartment of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat 395007, Gujarat, IndiaDepartment of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi ArabiaThis article intends to initiate the study of Pompeiu–Hausdorff distance induced by an <i>M</i>-metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces. Moreover, the discussion is supported with the aid of competent examples and a result on homotopy. This approach improves the current state of art in fixed point theory.https://www.mdpi.com/2227-7390/7/4/373homotopyM-metricM-Pompeiu–Hausdorff type metricmultivalued mappingfixed point |
| spellingShingle | Pradip R. Patle Deepesh Kumar Patel Hassen Aydi Dhananjay Gopal Nabil Mlaiki Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application Mathematics homotopy M-metric M-Pompeiu–Hausdorff type metric multivalued mapping fixed point |
| title | Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application |
| title_full | Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application |
| title_fullStr | Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application |
| title_full_unstemmed | Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application |
| title_short | Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application |
| title_sort | nadler and kannan type set valued mappings in i m i metric spaces and an application |
| topic | homotopy M-metric M-Pompeiu–Hausdorff type metric multivalued mapping fixed point |
| url | https://www.mdpi.com/2227-7390/7/4/373 |
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