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33 p, 301.9 KB Some criteria for maximal abstract monotonicity / Mohebi, Hossein (Shahid Bahonar University of Kerman. Department of Mathematics) ; Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica) ; Rocco, Marco (University of Bergamo. Department of Mathematics, Statistics, Computer Science and Applications)
In this paper, we develop a theory of monotone operators in the framework of abstract convexity. First, we provide a surjectivity result for a broad class of abstract monotone operators. Then, by using an additivity constraint qualification, we prove a generalization of Fenchel's duality theorem in the framework of abstract convexity and give some criteria for maximal abstract monotonicity. [...]
2012 - 10.1007/s10898-011-9671-8
Journal of Global Optimization, Vol. 53, Núm. 2, pp. 137-163 (2012)  

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