Perov-fixed point theorems on a metric space equipped with ordered theoretic relation
In this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation. We have furnished our work with examples to show that several metrical-fixed point theor...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221105?viewType=HTML |
| _version_ | 1811206835474006016 |
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| author | Yahya Almalki Fahim Ud Din Muhammad Din Muhammad Usman Ali Noor Jan |
| author_facet | Yahya Almalki Fahim Ud Din Muhammad Din Muhammad Usman Ali Noor Jan |
| author_sort | Yahya Almalki |
| collection | DOAJ |
| description | In this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation. We have furnished our work with examples to show that several metrical-fixed point theorems can be obtained from an arbitrary binary relation. |
| first_indexed | 2024-04-12T03:54:49Z |
| format | Article |
| id | doaj.art-226416233304491faa18a557ce15a76a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T03:54:49Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-226416233304491faa18a557ce15a76a2022-12-22T03:48:52ZengAIMS PressAIMS Mathematics2473-69882022-09-01711201992021210.3934/math.20221105Perov-fixed point theorems on a metric space equipped with ordered theoretic relationYahya Almalki 0Fahim Ud Din 1Muhammad Din2Muhammad Usman Ali3Noor Jan41. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia2. Abdus Salam School of Mathematical Sciences, Lahore, Pakistan2. Abdus Salam School of Mathematical Sciences, Lahore, Pakistan3. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan4. Afghan Institute of Sciences, Kabul, AfghanistanIn this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation. We have furnished our work with examples to show that several metrical-fixed point theorems can be obtained from an arbitrary binary relation.https://www.aimspress.com/article/doi/10.3934/math.20221105?viewType=HTMLbinary relationperov-fixed pointvector-valued metric space |
| spellingShingle | Yahya Almalki Fahim Ud Din Muhammad Din Muhammad Usman Ali Noor Jan Perov-fixed point theorems on a metric space equipped with ordered theoretic relation AIMS Mathematics binary relation perov-fixed point vector-valued metric space |
| title | Perov-fixed point theorems on a metric space equipped with ordered theoretic relation |
| title_full | Perov-fixed point theorems on a metric space equipped with ordered theoretic relation |
| title_fullStr | Perov-fixed point theorems on a metric space equipped with ordered theoretic relation |
| title_full_unstemmed | Perov-fixed point theorems on a metric space equipped with ordered theoretic relation |
| title_short | Perov-fixed point theorems on a metric space equipped with ordered theoretic relation |
| title_sort | perov fixed point theorems on a metric space equipped with ordered theoretic relation |
| topic | binary relation perov-fixed point vector-valued metric space |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221105?viewType=HTML |
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