Geodesic
An Abstract Convex Representation of Maximal Abstract Monotone Operators
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 259-275 Cet article a éte moissonné depuis la source Heldermann Verlag

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We develop a theory of monotone operators in the framework of abstract convexity. We present a definition for abstract monotone operators and some examples of an abstract convex function such that its subdifferential is a maximal abstract monotone operator. Finally, we give an abstract convex representation for maximal abstract monotone operators.
Classification : 47H05, 47H04, 52A01, 26A48, 26A51
Mots-clés : Monotone operator, abstract monotonicity, abstract convex function, abstract convexity, IPH function 
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     author = {H. Mohebi and A. C. Eberhard},
     title = {An {Abstract} {Convex} {Representation} of {Maximal} {Abstract} {Monotone} {Operators}},
     journal = {Journal of convex analysis},
     pages = {259--275},
     year = {2011},
     volume = {18},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a13/}
}
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H. Mohebi; A. C. Eberhard. An Abstract Convex Representation of Maximal Abstract Monotone Operators. Journal of convex analysis, Tome 18 (2011) no. 1, pp. 259-275. http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a13/