On Variational-like Inequalities with Generalized Monotone Mappings

  • Vasile Preda
  • Miruna Beldiman
  • Anton Bătătorescu
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 583)


We consider two new classes of generalized relaxed α-monotone and semimonotone functions and using the KKM technique we prove the existence of solutions for variational-like inequalities relative to these types of mappings in Banach spaces. Several examples and special cases are also considered.

Key words

Variational-like inequality generalized monotone mapping KKM Theorem coercivity semicontinuity 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Vasile Preda
    • 1
  • Miruna Beldiman
    • 2
  • Anton Bătătorescu
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceUniversity of BucharestBucharestRomania
  2. 2.University of BucharestBucharestRomania

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