Generalized convexity: Their applications to variational problems

The aim of this paper is to show one of the generalized convexity applications, generalized monotonicity particularly, to the variational problems study. These problems are related to the search of equilibrium conditions in physical and economic environments. If convexity plays an important role in...

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Detalles Bibliográficos
Autores: Ruiz Garzón, Gabriel, Hernández Jiménez, Beatriz, Osuna Gómez, Rafaela, Rufián Lizana, Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/56353
Acceso en línea:http://hdl.handle.net/11441/56353
Access Level:acceso abierto
Palabra clave:Invexity
Monotonicity
Variational problems
Descripción
Sumario:The aim of this paper is to show one of the generalized convexity applications, generalized monotonicity particularly, to the variational problems study. These problems are related to the search of equilibrium conditions in physical and economic environments. If convexity plays an important role in mathematical programming problems, monotonicity will play a similar role in variational problems. This paper shows some recent results about this topic.