Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2020-06-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_37373_a6570a8c7efa8102a5a2376c2d3d7fd4.pdf |
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| author | Mensur Yalcin Hakan Simsek Ishak Altun |
| author_facet | Mensur Yalcin Hakan Simsek Ishak Altun |
| author_sort | Mensur Yalcin |
| collection | DOAJ |
| description | In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results. |
| first_indexed | 2024-12-14T12:08:04Z |
| format | Article |
| id | doaj.art-612c202f65c94d3096bbfeb1a98b5bc5 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-14T12:08:04Z |
| publishDate | 2020-06-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-612c202f65c94d3096bbfeb1a98b5bc52022-12-21T23:01:50ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002020-06-01172233610.22130/scma.2019.97961.52737373Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class FunctionsMensur Yalcin0Hakan Simsek1Ishak Altun2Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.http://scma.maragheh.ac.ir/article_37373_a6570a8c7efa8102a5a2376c2d3d7fd4.pdfquasi metric spaceleft $k$-cauchy sequenceleft $mathcal{k}$-completenessfixed point |
| spellingShingle | Mensur Yalcin Hakan Simsek Ishak Altun Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions Sahand Communications in Mathematical Analysis quasi metric space left $k$-cauchy sequence left $mathcal{k}$-completeness fixed point |
| title | Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions |
| title_full | Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions |
| title_fullStr | Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions |
| title_full_unstemmed | Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions |
| title_short | Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions |
| title_sort | fixed point theorems on complete quasi metric spaces via c class and a class functions |
| topic | quasi metric space left $k$-cauchy sequence left $mathcal{k}$-completeness fixed point |
| url | http://scma.maragheh.ac.ir/article_37373_a6570a8c7efa8102a5a2376c2d3d7fd4.pdf |
| work_keys_str_mv | AT mensuryalcin fixedpointtheoremsoncompletequasimetricspacesviacclassandaclassfunctions AT hakansimsek fixedpointtheoremsoncompletequasimetricspacesviacclassandaclassfunctions AT ishakaltun fixedpointtheoremsoncompletequasimetricspacesviacclassandaclassfunctions |