EXTENDED REAL-VALUED FUNCTIONS- A UNIFIED APPROACH
EXTENDED REAL-VALUED FUNCTIONS- A UNIFIED APPROACH
| dc.creator | Weidner, Petra | |
| dc.date | 2023-04-12 | |
| dc.date.accessioned | 2023-06-20T14:02:50Z | |
| dc.date.available | 2023-06-20T14:02:50Z | |
| dc.identifier | https://revistas.uh.cu/invoperacional/article/view/3944 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/6720764 | |
| dc.description | Extended real-valued functions are often used in optimization theory, but in different ways for in- fimum problems and for supremum problems. We present an approach to extended real-valued functions that works for all types of problems and into which one results of convex analysis can be embedded. Our approach preserves continuity and the Chebyshev norm when extending a func- tional to the entire space. The basic idea also works for other spaces than the extended set of real numbers. Moreover, we characterize semicontinuity, convexity, linearity and related properties of extended real-valued functions | en-US |
| dc.description | Es com ́un el uso de funciones R-evaluadas extendidas en Optimizaci ́on, aunque tiene distintos sig- nificados si se trata de problemas de c ́alculo de infimo o de supremo. En este trabajo presentamos una forma diferente de extender funciones R-evaluadas que funciona para todo tipo de problemas y en el que resultan naturales varios resultados del an ́alisis convexo. En particular se preserva la continuidad y la norma de Chebyshev al extender la funci ́on al todo el espacio. La idea funciona tambi ́en para otros espacios diferentes. Adem ́as se caracteriza la semi-continuidad, la convexidad, la linealidad y otras propiedades relacionadas. | es-ES |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Departamento de Matemática Aplicada. Facultad de Matemática y Computación. Universidad de La Habana | en-US |
| dc.relation | https://revistas.uh.cu/invoperacional/article/view/3944/3477 | |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | es-ES |
| dc.source | Investigación Operacional; Vol. 39 No. 3 (2018): SPECIAL ISSUE ON VARIATIONAL ANALYSIS ON HOMAGE TO THE 70TH ANNIVERSARY OF BORIS MURDUKHOVICH | en-US |
| dc.source | Investigación Operacional; Vol. 39 Núm. 3 (2018): SPECIAL ISSUE ON VARIATIONAL ANALYSIS ON HOMAGE TO THE 70TH ANNIVERSARY OF BORIS MURDUKHOVICH | es-ES |
| dc.source | 2224-5405 | |
| dc.subject | Convex analysis | en-US |
| dc.subject | convex function | en-US |
| dc.subject | linear function | en-US |
| dc.subject | semicontinuity | en-US |
| dc.subject | An ́alisis convexo | es-ES |
| dc.subject | funciones convexas | es-ES |
| dc.subject | funciones lineales | es-ES |
| dc.subject | semi-continuidad | es-ES |
| dc.title | EXTENDED REAL-VALUED FUNCTIONS- A UNIFIED APPROACH | en-US |
| dc.title | EXTENDED REAL-VALUED FUNCTIONS- A UNIFIED APPROACH | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Articles | en-US |
| dc.type | Artículo | es-ES |