Geodesic
Positive Sets, Conservative Sets and Dissipative Sets
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 973-986

Voir la notice de l'article provenant de la source Heldermann Verlag

We look for a simple general framework which would encompass the notion of symmetric self-dual spaces introduced by S. Simons and the notion of self-paired product space proposed recently by the author ["Monotonicities and dualities", in: Generalized Convexity and Related Topics, I. V. Konnor, D. T. Luc and A. M. Rubinov (eds), Lecture Notes in Economics and Math. Systems 583, Springer, Berlin (2007), 300-414]. Such a framework is appropriate for the study of a notion generalizing the concept of monotone operator. The representation of such operators by functions is the main purpose of the study.
Classification : 47H05, 47H06, 47B44, 47A07, 11E05
Mots-clés : Balanced space, conservative set, dissipative set, Fitzpatrick function, monotone operator, positive set, Simons space 
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     title = {Positive {Sets,} {Conservative} {Sets} and {Dissipative} {Sets}},
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J.-P. Penot. Positive Sets, Conservative Sets and Dissipative Sets. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 973-986. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a24/