On a fixed point theorem with application to functional equations
The purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ. Ferrara, 2013, 59, 251–258] in context of ordered dualistic partial metric spaces and to investigate suf...
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2019-0128 |
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doaj-51165d0f4c844565aff709a86f2236d92021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-12-011711724173610.1515/math-2019-0128math-2019-0128On a fixed point theorem with application to functional equationsNazam Muhammad0Arshad Muhammad1Park Choonkil2Mahmood Hasan3Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad, PakistanDepartment of Mathematics, International Islamic University, H-10, Islamabad, PakistanChoonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, KoreaDepartment of Mathematics, GC University, Lahore, PakistanThe purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ. Ferrara, 2013, 59, 251–258] in context of ordered dualistic partial metric spaces and to investigate sufficient conditions for the existence of a fixed point in this space. These results extend various comparable results, existing in the literature. We give examples to explain our findings. We apply our result to prove the existence of the solution of functional equation.https://doi.org/10.1515/math-2019-0128fixed pointdualistic partial metricapplication47h0947h1054h25 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nazam Muhammad Arshad Muhammad Park Choonkil Mahmood Hasan |
| spellingShingle |
Nazam Muhammad Arshad Muhammad Park Choonkil Mahmood Hasan On a fixed point theorem with application to functional equations Open Mathematics fixed point dualistic partial metric application 47h09 47h10 54h25 |
| author_facet |
Nazam Muhammad Arshad Muhammad Park Choonkil Mahmood Hasan |
| author_sort |
Nazam Muhammad |
| title |
On a fixed point theorem with application to functional equations |
| title_short |
On a fixed point theorem with application to functional equations |
| title_full |
On a fixed point theorem with application to functional equations |
| title_fullStr |
On a fixed point theorem with application to functional equations |
| title_full_unstemmed |
On a fixed point theorem with application to functional equations |
| title_sort |
on a fixed point theorem with application to functional equations |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2019-12-01 |
| description |
The purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ. Ferrara, 2013, 59, 251–258] in context of ordered dualistic partial metric spaces and to investigate sufficient conditions for the existence of a fixed point in this space. These results extend various comparable results, existing in the literature. We give examples to explain our findings. We apply our result to prove the existence of the solution of functional equation. |
| topic |
fixed point dualistic partial metric application 47h09 47h10 54h25 |
| url |
https://doi.org/10.1515/math-2019-0128 |
| work_keys_str_mv |
AT nazammuhammad onafixedpointtheoremwithapplicationtofunctionalequations AT arshadmuhammad onafixedpointtheoremwithapplicationtofunctionalequations AT parkchoonkil onafixedpointtheoremwithapplicationtofunctionalequations AT mahmoodhasan onafixedpointtheoremwithapplicationtofunctionalequations |
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1717777153970405376 |