Common fixed point theorems in complex valued non-negative extended b-metric space
We introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. Nontrivia...
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| Format: | Article |
| Language: | English |
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EJAAM
2021-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0004.pdf |
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| author | Naimat Ullah Mohammed Shehu Shagari Tahir Ahmad Khan Aziz Ullah Khan Muhammad Atta Ullah Khan |
| author_facet | Naimat Ullah Mohammed Shehu Shagari Tahir Ahmad Khan Aziz Ullah Khan Muhammad Atta Ullah Khan |
| author_sort | Naimat Ullah |
| collection | DOAJ |
| description | We introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. Nontrivial examples are provided to support the hypotheses and usefulness of the main result obtained herein. |
| format | Article |
| id | doaj-art-6cb4ffc1a6564865ad386c5af50dbf01 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-6cb4ffc1a6564865ad386c5af50dbf012025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902021-12-01202110.2478/ejaam-2021-0004Common fixed point theorems in complex valued non-negative extended b-metric spaceNaimat Ullah0Mohammed Shehu Shagari1Tahir Ahmad Khan2Aziz Ullah Khan3Muhammad Atta Ullah Khan4Department of Mathematics, Visiting Faculty, University of Mianwali, PakistanDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, NigeriaDepartment of Mathematics, Visiting Faculty, University of Mianwali, PakistanDepartment of Mathematics, Visiting Faculty, University of Mianwali, PakistanDepartment of Mathematics, Visiting Faculty, University of Mianwali, PakistanWe introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. Nontrivial examples are provided to support the hypotheses and usefulness of the main result obtained herein.https://ejaam.org/articles/2021/10.2478-ejaam-2021-0004.pdfcomplex valued metric spacecomplex valued non-negative extended b-metric spacefixed pointintegral equation |
| spellingShingle | Naimat Ullah Mohammed Shehu Shagari Tahir Ahmad Khan Aziz Ullah Khan Muhammad Atta Ullah Khan Common fixed point theorems in complex valued non-negative extended b-metric space E-Journal of Analysis and Applied Mathematics complex valued metric space complex valued non-negative extended b-metric space fixed point integral equation |
| title | Common fixed point theorems in complex valued non-negative extended b-metric space |
| title_full | Common fixed point theorems in complex valued non-negative extended b-metric space |
| title_fullStr | Common fixed point theorems in complex valued non-negative extended b-metric space |
| title_full_unstemmed | Common fixed point theorems in complex valued non-negative extended b-metric space |
| title_short | Common fixed point theorems in complex valued non-negative extended b-metric space |
| title_sort | common fixed point theorems in complex valued non negative extended b metric space |
| topic | complex valued metric space complex valued non-negative extended b-metric space fixed point integral equation |
| url | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0004.pdf |
| work_keys_str_mv | AT naimatullah commonfixedpointtheoremsincomplexvaluednonnegativeextendedbmetricspace AT mohammedshehushagari commonfixedpointtheoremsincomplexvaluednonnegativeextendedbmetricspace AT tahirahmadkhan commonfixedpointtheoremsincomplexvaluednonnegativeextendedbmetricspace AT azizullahkhan commonfixedpointtheoremsincomplexvaluednonnegativeextendedbmetricspace AT muhammadattaullahkhan commonfixedpointtheoremsincomplexvaluednonnegativeextendedbmetricspace |