Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach
There are many results on stability of various forms of functional equations available in the theory of functional equations. The intention of this paper is to introduce an advanced and a new multi-dimensional reciprocal-quadratic functional equation involving $p>1$ variables. It is interesting...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62943 |
| _version_ | 1797634056277458944 |
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| author | Beri V. Senthil Kumar Hemen Dutta S. Sabarinathan |
| author_facet | Beri V. Senthil Kumar Hemen Dutta S. Sabarinathan |
| author_sort | Beri V. Senthil Kumar |
| collection | DOAJ |
| description |
There are many results on stability of various forms of functional equations available in the theory of functional equations. The intention of this paper is to introduce an advanced and a new multi-dimensional reciprocal-quadratic functional equation involving $p>1$ variables. It is interesting to note that it has two different solutions, namely, quadratic and multiplicative inverse quadratic functions. We solve its various stability problems in the setting of non-zero real numbers and non-Archimedean fields via fixed point approach.
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| first_indexed | 2024-03-11T12:02:26Z |
| format | Article |
| id | doaj.art-30b67df06c3b45dbb06ce2e168e44fe1 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T12:02:26Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-30b67df06c3b45dbb06ce2e168e44fe12023-11-07T20:10:44ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.62943Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approachBeri V. Senthil Kumar0Hemen Dutta1S. Sabarinathan2University of Technology and Applied SciencesGauhati UniversitySRM Institute of Science and Technology There are many results on stability of various forms of functional equations available in the theory of functional equations. The intention of this paper is to introduce an advanced and a new multi-dimensional reciprocal-quadratic functional equation involving $p>1$ variables. It is interesting to note that it has two different solutions, namely, quadratic and multiplicative inverse quadratic functions. We solve its various stability problems in the setting of non-zero real numbers and non-Archimedean fields via fixed point approach. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62943 |
| spellingShingle | Beri V. Senthil Kumar Hemen Dutta S. Sabarinathan Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach Boletim da Sociedade Paranaense de Matemática |
| title | Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach |
| title_full | Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach |
| title_fullStr | Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach |
| title_full_unstemmed | Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach |
| title_short | Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach |
| title_sort | approximating an advanced multi dimensional reciprocal quadratic mapping via a fixed point approach |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62943 |
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