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Pàgina inicial > Articles > Articles publicats > Some criteria for maximal abstract monotonicity |
Data: | 2012 |
Resum: | 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. |
Ajuts: | Ministerio de Ciencia e Innovación MTM2008-06695-C03-03/MTM |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Constraint qualification ; Generalized Fenchel's duality ; Monotone operator ; Abstract monotonicity ; Abstract convex function ; Abstract convexity |
Publicat a: | Journal of Global Optimization, Vol. 53, Núm. 2, pp. 137-163 (2012) , ISSN 1573-2916 |
Postprint 33 p, 301.9 KB |