Artículo
Applications of convex analysis within mathematics
Autor/es | Aragón Artacho, Francisco Javier
Borwein, Jonathan M. Martín Márquez, Victoria Yao, Liangjin |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2014-12 |
Fecha de depósito | 2016-10-07 |
Publicado en |
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Resumen | In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially ... In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in Hilbert space, and present a new proof of the sum theorem in reflexive spaces. More technically, we also discuss autoconjugate representers for maximally monotone operators. Finally, we consider various other applications in mathematical analysis. |
Agencias financiadoras | Australian Research Council |
Cita | Aragón Artacho, F.J., Borwein, J.M., Martín Márquez, V. y Yao, L. (2014). Applications of convex analysis within mathematics. Mathematical Programming, 148 (1), 49-88. |
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