Binary relation for tripled fixed point theorem in metric spaces
In this paper we present a new extension of tripled fixed point theorems in metric spaces endowed with a reflexive binary relation that is not necessarily neither transitive nor antisymmetric. The key feature in this tripled fixed point theorems is that the contractivity condition on the nonlinear...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38279 |
| _version_ | 1797633475374743552 |
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| author | Animesh Gupta Vandana Rai |
| author_facet | Animesh Gupta Vandana Rai |
| author_sort | Animesh Gupta |
| collection | DOAJ |
| description |
In this paper we present a new extension of tripled fixed point theorems in metric spaces endowed with a reflexive binary relation that is not necessarily neither transitive nor antisymmetric. The key feature in this tripled fixed point theorems is that the contractivity condition on the nonlinear map is only assumed to hold on elements that are comparable in the binary relation. Next on the basis of the tripled fixed point theorems, we prove the existence and uniqueness of positive definite solutions of a nonlinear matrix equation of type
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| first_indexed | 2024-03-11T11:54:32Z |
| format | Article |
| id | doaj.art-238168e941c24091aadb592a4e1e2626 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:32Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-238168e941c24091aadb592a4e1e26262023-11-08T20:01:53ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139210.5269/bspm.38279Binary relation for tripled fixed point theorem in metric spacesAnimesh Gupta0Vandana Rai1Rani Durgawati University JabalpurIndian Institute of Technology In this paper we present a new extension of tripled fixed point theorems in metric spaces endowed with a reflexive binary relation that is not necessarily neither transitive nor antisymmetric. The key feature in this tripled fixed point theorems is that the contractivity condition on the nonlinear map is only assumed to hold on elements that are comparable in the binary relation. Next on the basis of the tripled fixed point theorems, we prove the existence and uniqueness of positive definite solutions of a nonlinear matrix equation of type https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38279 |
| spellingShingle | Animesh Gupta Vandana Rai Binary relation for tripled fixed point theorem in metric spaces Boletim da Sociedade Paranaense de Matemática |
| title | Binary relation for tripled fixed point theorem in metric spaces |
| title_full | Binary relation for tripled fixed point theorem in metric spaces |
| title_fullStr | Binary relation for tripled fixed point theorem in metric spaces |
| title_full_unstemmed | Binary relation for tripled fixed point theorem in metric spaces |
| title_short | Binary relation for tripled fixed point theorem in metric spaces |
| title_sort | binary relation for tripled fixed point theorem in metric spaces |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38279 |
| work_keys_str_mv | AT animeshgupta binaryrelationfortripledfixedpointtheoreminmetricspaces AT vandanarai binaryrelationfortripledfixedpointtheoreminmetricspaces |