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)

Date:	2012
Abstract:	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. Finally, we present necessary and sufficient conditions for maximality of abstract monotone operators.
Grants:	Ministerio de Ciencia e Innovación MTM2008-06695-C03-03/MTM
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Constraint qualification ; Generalized Fenchel's duality ; Monotone operator ; Abstract monotonicity ; Abstract convex function ; Abstract convexity
Published in:	Journal of Global Optimization, Vol. 53, Núm. 2, pp. 137-163 (2012) , ISSN 1573-2916

DOI: 10.1007/s10898-011-9671-8

Postprint 33 p, 301.9 KB

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