Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 395-409.

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We deal with multivalued monotone operators and two variable monotone functions for equilibrium problems in Banach spaces. We first study close relationships concerning resolvents and maximal monotonicity for monotone operators and monotone functions. We also consider a one-to-one correspondence between a class of maximal monotone operators and that of maximal monotone functions with certain conditions.
Classification : 47H05, 74G10
Mots-clés : Equilibrium problem, maximal monotone operator, maximal monotone function, resolvent
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     author = {K. Aoyama and Y. Kimura and W. Takahashi},
     title = {Maximal {Monotone} {Operators} and {Maximal} {Monotone} {Functions} for {Equilibrium} {Problems}},
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K. Aoyama; Y. Kimura; W. Takahashi. Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 395-409. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a14/