Some New Fixed Point Theorems in Partial Metric Spaces with Applications
Recently, a number of fixed point theorems for contraction type mappings in partial metric spaces have been obtained by various authors. Most of these theorems can be obtained from the corresponding results in metric spaces. The purpose of this paper is to present certain fixed point results for sin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1072750 |
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| author | Rajendra Pant Rahul Shukla H. K. Nashine R. Panicker |
| author_facet | Rajendra Pant Rahul Shukla H. K. Nashine R. Panicker |
| author_sort | Rajendra Pant |
| collection | DOAJ |
| description | Recently, a number of fixed point theorems for contraction type mappings in partial metric spaces have been obtained by various authors. Most of these theorems can be obtained from the corresponding results in metric spaces. The purpose of this paper is to present certain fixed point results for single and multivalued mappings in partial metric spaces which cannot be obtained from the corresponding results in metric spaces. Besides discussing some useful examples, an application to Volterra type system of integral equations is also discussed. |
| format | Article |
| id | doaj-art-707e0f6037f240e1b0e328c5d6b24358 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-707e0f6037f240e1b0e328c5d6b243582025-02-03T06:11:08ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/10727501072750Some New Fixed Point Theorems in Partial Metric Spaces with ApplicationsRajendra Pant0Rahul Shukla1H. K. Nashine2R. Panicker3Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaDepartment of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaDepartment of Mathematics, Amity University, Chhattisgarh Manth/Kharora (Opp. ITBP) SH 9, Raipur, Chhattisgarh 493225, IndiaDepartment of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South AfricaRecently, a number of fixed point theorems for contraction type mappings in partial metric spaces have been obtained by various authors. Most of these theorems can be obtained from the corresponding results in metric spaces. The purpose of this paper is to present certain fixed point results for single and multivalued mappings in partial metric spaces which cannot be obtained from the corresponding results in metric spaces. Besides discussing some useful examples, an application to Volterra type system of integral equations is also discussed.http://dx.doi.org/10.1155/2017/1072750 |
| spellingShingle | Rajendra Pant Rahul Shukla H. K. Nashine R. Panicker Some New Fixed Point Theorems in Partial Metric Spaces with Applications Journal of Function Spaces |
| title | Some New Fixed Point Theorems in Partial Metric Spaces with Applications |
| title_full | Some New Fixed Point Theorems in Partial Metric Spaces with Applications |
| title_fullStr | Some New Fixed Point Theorems in Partial Metric Spaces with Applications |
| title_full_unstemmed | Some New Fixed Point Theorems in Partial Metric Spaces with Applications |
| title_short | Some New Fixed Point Theorems in Partial Metric Spaces with Applications |
| title_sort | some new fixed point theorems in partial metric spaces with applications |
| url | http://dx.doi.org/10.1155/2017/1072750 |
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