Existence and construction of the Peano selection for a multivalued function
In the present article, the necessary conditions are presented for a multivalued function in order to define a Peano selection. To achieve this, a bibliographic review was carried out on general results of compact topological spaces, open and closed sets and continuity. To then address the same topi...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2024-12-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6133 |
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| author | Rosario D. Delgado V. Waymer A. Barreto V. Teodoro L. Acevedo T. |
| author_facet | Rosario D. Delgado V. Waymer A. Barreto V. Teodoro L. Acevedo T. |
| author_sort | Rosario D. Delgado V. |
| collection | DOAJ |
| description | In the present article, the necessary conditions are presented for a multivalued function in order to define a Peano selection. To achieve this, a bibliographic review was carried out on general results of compact topological spaces, open and closed sets and continuity. To then address the same topics, but on metric spaces. Next, the theory of multivalued functions was studied, specifically semicontinuity, both superiorly and inferiorly. Finally, using the General Theorem of multivalued functions, the necessary conditions are determined for the multivalued function, F : [0, 1]-->[0, 1] × [0, 1] to admit the construction of the selection of Peano. |
| format | Article |
| id | doaj-art-828a59fc607f437b82dd5cca8253ed28 |
| institution | Kabale University |
| issn | 2411-1783 |
| language | Spanish |
| publishDate | 2024-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj-art-828a59fc607f437b82dd5cca8253ed282025-01-03T04:03:11ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832024-12-01110240941610.17268/sel.mat.2024.02.12Existence and construction of the Peano selection for a multivalued functionRosario D. Delgado V.0https://orcid.org/0000-0001-7584-7634Waymer A. Barreto V.1https://orcid.org/0000-0001-6726-0462Teodoro L. Acevedo T.2https://orcid.org/0000-0001-7630-0251Universidad Nacional de Trujillo, Trujillo, La Libertad, PerúUniversidad Nacional de Trujillo, Trujillo, La Libertad, PerúUniversidad Nacional de Trujillo, Trujillo, La Libertad, PerúIn the present article, the necessary conditions are presented for a multivalued function in order to define a Peano selection. To achieve this, a bibliographic review was carried out on general results of compact topological spaces, open and closed sets and continuity. To then address the same topics, but on metric spaces. Next, the theory of multivalued functions was studied, specifically semicontinuity, both superiorly and inferiorly. Finally, using the General Theorem of multivalued functions, the necessary conditions are determined for the multivalued function, F : [0, 1]-->[0, 1] × [0, 1] to admit the construction of the selection of Peano.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6133peano selectionmultivalued function |
| spellingShingle | Rosario D. Delgado V. Waymer A. Barreto V. Teodoro L. Acevedo T. Existence and construction of the Peano selection for a multivalued function Selecciones Matemáticas peano selection multivalued function |
| title | Existence and construction of the Peano selection for a multivalued function |
| title_full | Existence and construction of the Peano selection for a multivalued function |
| title_fullStr | Existence and construction of the Peano selection for a multivalued function |
| title_full_unstemmed | Existence and construction of the Peano selection for a multivalued function |
| title_short | Existence and construction of the Peano selection for a multivalued function |
| title_sort | existence and construction of the peano selection for a multivalued function |
| topic | peano selection multivalued function |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6133 |
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