Geodesic
Fixed Point Iterative Schemes for Variational Inequality Problems
Journal of convex analysis, Tome 25 (2018) no. 2, pp. 701-715
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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.
Classification : 41A65, 47H10
Mots-clés : Hilbert space, Krasnoselskij-type iterative scheme, projected dynamical system, projection operator, variational inequality problem 
@article{JCA_2018_25_2_JCA_2018_25_2_a18,
     author = {E. Toscano and C. Vetro},
     title = {Fixed {Point} {Iterative} {Schemes} for {Variational} {Inequality} {Problems}},
     journal = {Journal of convex analysis},
     pages = {701--715},
     year = {2018},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a18/}
}
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E. Toscano; C. Vetro. Fixed Point Iterative Schemes for Variational Inequality Problems. Journal of convex analysis, Tome 25 (2018) no. 2, pp. 701-715. http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a18/