Abstract Existence and Uniqueness Results for Solution of Variational Inequalities

  • M. Chipot
Part of the Applied Mathematical Sciences book series (AMS, volume 52)


In the different sections, we shall use repeatedly the following well known theorem: Theorem 1.1: (Schauder) Let K be a compact convex subset of a Banach space X. If F: K → K is continuous, then F has a fixed point in K.


Banach Space Variational Inequality Convex Subset Monotone Operator Uniqueness Result 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • M. Chipot
    • 1
  1. 1.Department of MathematicsUniversity of Nancy IVandoeuvre CedexFrance

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