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Journal of Convex Analysis 25 (2018), No. 2, [final page numbers not yet available]
Copyright Heldermann Verlag 2018



Fixed Point Iterative Schemes for Variational Inequality Problems

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



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.

Keywords: Hilbert space, Krasnoselskij-type iterative scheme, projected dynamical system, projection operator, variational inequality problem.

MSC: 41A65, 47H10

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