Fixed point results for generalized almost contractions and application to a nonlinear matrix equation
The goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finall...
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| Format: | Article |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024600?viewType=HTML |
| _version_ | 1797216131297050624 |
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| author | Koti N. V. V. V. Prasad Vinay Mishra Zoran D. Mitrović Ahmad Aloqaily Nabil Mlaiki |
| author_facet | Koti N. V. V. V. Prasad Vinay Mishra Zoran D. Mitrović Ahmad Aloqaily Nabil Mlaiki |
| author_sort | Koti N. V. V. V. Prasad |
| collection | DOAJ |
| description | The goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results. |
| first_indexed | 2024-04-24T11:41:05Z |
| format | Article |
| id | doaj.art-e0d2b6100ce34a79b896bfeb22d59bdd |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T11:41:05Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e0d2b6100ce34a79b896bfeb22d59bdd2024-04-10T01:33:39ZengAIMS PressAIMS Mathematics2473-69882024-03-0195122871230410.3934/math.2024600Fixed point results for generalized almost contractions and application to a nonlinear matrix equationKoti N. V. V. V. Prasad 0Vinay Mishra1Zoran D. Mitrović2Ahmad Aloqaily3Nabil Mlaiki 41. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, A Central University, 495009, Bilaspur (C.G.), India1. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, A Central University, 495009, Bilaspur (C.G.), India2. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia 4. School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-21503. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586 Saudi ArabiaThe goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.https://www.aimspress.com/article/doi/10.3934/math.2024600?viewType=HTMLgeneralized almost contraction$ w $-distancesymmetric locally $ \mathcal{h} $-transitive binary relationsnonlinear matrix equationrelational metric space |
| spellingShingle | Koti N. V. V. V. Prasad Vinay Mishra Zoran D. Mitrović Ahmad Aloqaily Nabil Mlaiki Fixed point results for generalized almost contractions and application to a nonlinear matrix equation AIMS Mathematics generalized almost contraction $ w $-distance symmetric locally $ \mathcal{h} $-transitive binary relations nonlinear matrix equation relational metric space |
| title | Fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| title_full | Fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| title_fullStr | Fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| title_full_unstemmed | Fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| title_short | Fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| title_sort | fixed point results for generalized almost contractions and application to a nonlinear matrix equation |
| topic | generalized almost contraction $ w $-distance symmetric locally $ \mathcal{h} $-transitive binary relations nonlinear matrix equation relational metric space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024600?viewType=HTML |
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