Fixed Point Theory and Applications (Jan 2010)

Existence of Solutions and Algorithm for a System of Variational Inequalities

  • Xia Zunquan,
  • Pang Liping,
  • Zhang Liwei,
  • Zhao Yali

Journal volume & issue
Vol. 2010, no. 1
p. 182539

Abstract

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We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.