Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application
In this paper, we introduce the concept of Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction by unifying the definitions of Suzuki type $\mathcal{Z}$-contraction and $\mathcal{Z_\mathcal{R}}$-contraction and also provide examples to highlight the genuineness of our newly introduced contraction over...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020137/fulltext.html |
| _version_ | 1819205181878829056 |
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| author | Md Hasanuzzaman Mohammad Imdad |
| author_facet | Md Hasanuzzaman Mohammad Imdad |
| author_sort | Md Hasanuzzaman |
| collection | DOAJ |
| description | In this paper, we introduce the concept of Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction by unifying the definitions of Suzuki type $\mathcal{Z}$-contraction and $\mathcal{Z_\mathcal{R}}$-contraction and also provide examples to highlight the genuineness of our newly introduced contraction over earlier mentioned ones. Chiefly, we prove an existence and corresponding uniqueness fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction employing an amorphous binary relation on metric spaces without completeness and also furnish an illustrative example to demonstrate the utility of our main results. Finally, we utilize our main results to discuss the existence and uniqueness of solutions of a family of nonlinear matrix equations. |
| first_indexed | 2024-12-23T04:47:38Z |
| format | Article |
| id | doaj.art-4bdb1836cd54481688aa9da8d34d6208 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-23T04:47:38Z |
| publishDate | 2020-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4bdb1836cd54481688aa9da8d34d62082022-12-21T17:59:35ZengAIMS PressAIMS Mathematics2473-69882020-02-01532071208710.3934/math.2020137Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an applicationMd Hasanuzzaman0Mohammad Imdad1Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaIn this paper, we introduce the concept of Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction by unifying the definitions of Suzuki type $\mathcal{Z}$-contraction and $\mathcal{Z_\mathcal{R}}$-contraction and also provide examples to highlight the genuineness of our newly introduced contraction over earlier mentioned ones. Chiefly, we prove an existence and corresponding uniqueness fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction employing an amorphous binary relation on metric spaces without completeness and also furnish an illustrative example to demonstrate the utility of our main results. Finally, we utilize our main results to discuss the existence and uniqueness of solutions of a family of nonlinear matrix equations.https://www.aimspress.com/article/10.3934/math.2020137/fulltext.htmlfixed pointssuzuki type $\mathcal{z}_{\mathcal{r}}$-contractionsimulation functionsbinary relationsmatrix equations |
| spellingShingle | Md Hasanuzzaman Mohammad Imdad Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application AIMS Mathematics fixed points suzuki type $\mathcal{z}_{\mathcal{r}}$-contraction simulation functions binary relations matrix equations |
| title | Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application |
| title_full | Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application |
| title_fullStr | Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application |
| title_full_unstemmed | Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application |
| title_short | Relation theoretic metrical fixed point results for Suzuki type $\mathcal{Z_\mathcal{R}}$-contraction with an application |
| title_sort | relation theoretic metrical fixed point results for suzuki type mathcal z mathcal r contraction with an application |
| topic | fixed points suzuki type $\mathcal{z}_{\mathcal{r}}$-contraction simulation functions binary relations matrix equations |
| url | https://www.aimspress.com/article/10.3934/math.2020137/fulltext.html |
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