Equilibrium Problems: Existence Results and Applications
In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | Perú |
| Institución: | Consejo Nacional de Ciencia Tecnología e Innovación |
| Repositorio: | CONCYTEC-Institucional |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.concytec.gob.pe:20.500.12390/864 |
| Acceso en línea: | https://hdl.handle.net/20.500.12390/864 https://doi.org/10.1007/s11228-017-0451-6 |
| Access Level: | acceso abierto |
| Palabra clave: | Equilibrium problems Convex feasibility problems Generalized monotonicity Generalized convexity |
| Sumario: | In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium problems. |
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