Fixed Point Problems in Cone Rectangular Metric Spaces with Applications
In this paper, we introduce an ordered implicit relation and investigate some new fixed point theorems in a cone rectangular metric space subject to this relation. Some examples are presented as illustrations. We obtain a homotopy result as an application. Our results generalize and extend several f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8021234 |
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| _version_ | 1832547679357370368 |
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| author | Muhammad Nazam Anam Arif Hasan Mahmood Sang Og Kim |
| author_facet | Muhammad Nazam Anam Arif Hasan Mahmood Sang Og Kim |
| author_sort | Muhammad Nazam |
| collection | DOAJ |
| description | In this paper, we introduce an ordered implicit relation and investigate some new fixed point theorems in a cone rectangular metric space subject to this relation. Some examples are presented as illustrations. We obtain a homotopy result as an application. Our results generalize and extend several fixed point results in literature. |
| format | Article |
| id | doaj-art-f8432db627ba46ec877024b21500f532 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f8432db627ba46ec877024b21500f5322025-02-03T06:43:59ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/80212348021234Fixed Point Problems in Cone Rectangular Metric Spaces with ApplicationsMuhammad Nazam0Anam Arif1Hasan Mahmood2Sang Og Kim3Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad 44000, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanSchool of Data Science, Hallym University, Chuncheon 24252, Republic of KoreaIn this paper, we introduce an ordered implicit relation and investigate some new fixed point theorems in a cone rectangular metric space subject to this relation. Some examples are presented as illustrations. We obtain a homotopy result as an application. Our results generalize and extend several fixed point results in literature.http://dx.doi.org/10.1155/2020/8021234 |
| spellingShingle | Muhammad Nazam Anam Arif Hasan Mahmood Sang Og Kim Fixed Point Problems in Cone Rectangular Metric Spaces with Applications Journal of Function Spaces |
| title | Fixed Point Problems in Cone Rectangular Metric Spaces with Applications |
| title_full | Fixed Point Problems in Cone Rectangular Metric Spaces with Applications |
| title_fullStr | Fixed Point Problems in Cone Rectangular Metric Spaces with Applications |
| title_full_unstemmed | Fixed Point Problems in Cone Rectangular Metric Spaces with Applications |
| title_short | Fixed Point Problems in Cone Rectangular Metric Spaces with Applications |
| title_sort | fixed point problems in cone rectangular metric spaces with applications |
| url | http://dx.doi.org/10.1155/2020/8021234 |
| work_keys_str_mv | AT muhammadnazam fixedpointproblemsinconerectangularmetricspaceswithapplications AT anamarif fixedpointproblemsinconerectangularmetricspaceswithapplications AT hasanmahmood fixedpointproblemsinconerectangularmetricspaceswithapplications AT sangogkim fixedpointproblemsinconerectangularmetricspaceswithapplications |