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.
Toscano, E., Vetro, C. (2018). Fixed point iterative schemes for variational inequality problems. JOURNAL OF CONVEX ANALYSIS, 25(2), 701-715.
Fixed point iterative schemes for variational inequality problems
Toscano, Elena;Vetro, Calogero
2018-01-01
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.
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