Abstract

We provide an approach to maximal monotone bifunctions based on the theory of representative functions. Thus we extend to nonreflexive Banach spaces recent results due to A. N. Iusem ["On the maximal monotonicity of diagonal subdifferential operators", J. Convex Analysis 18 (2011) 489–503] and, respectively, to N. Hadjisavvas and H. Khatibzadeh ["Maximal monotonicity of bifunctions", Optimization 59 (2010) 147–160], where sufficient conditions guaranteeing the maximal monotonicity of bifunctions were introduced. New results involving the sum of two monotone bifunctions are also presented.

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Keywords

  • Conjugate functions
  • subdifferentials
  • representative functions
  • maximal monotone bifunctions
  • maximal monotone operators

Mathematics Subject Classification

47H05; 42A50, 90C25

References

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Suggested citation

R. I. Boţ, S.-M. Grad. “Approaching the Maximal Monotonicity of Bifunctions via Representative Functions.” Journal of Convex Analysis 19 (2012), No. 3, 713–724. https://doi.org/10.68381/jca19038

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Published by Heldermann Verlag, 2012. Rights now held by Banach Press LLC.