Abstract

We apply fixed point iterative schemes to variational inequality problems, via admissible perturbations of projection operators in real Hilbert spaces. Then, we prove some convergence theorems, extending and complementing the results in the existing literature. In particular, we deal with the class of α-co-coercive operators with application to general equilibrium problems.

Author information

Contact details are reproduced from the original publication and may be historical.

Elena Toscano

Dept. of Mathematics and Computer Sciences, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

elena.toscano@unipa.it

Calogero Vetro

Dept. of Mathematics and Computer Sciences, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

calogero.vetro@unipa.it

Keywords

  • Hilbert space
  • Krasnoselskij-type iterative scheme
  • projected dynamical system
  • projection operator
  • variational inequality problem

Mathematics Subject Classification

41A65, 47H10

Suggested citation

E. Toscano, C. Vetro. “Fixed Point Iterative Schemes for Variational Inequality Problems.” Journal of Convex Analysis 25 (2018), No. 2, 701–715.

Copyright Heldermann Verlag 2018