Abstract
Let K be a nonempty closed convex subset of a real Hilbert space H. The approximate solvability of a system of nonlinear variational inequality problems, based on the convergence of projection methods, is discussed as follows: find an element (x*, y*)∈K×K such that
where T: K×K→H is a nonlinear mapping on K×K.
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Verma, R.U. Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods. Journal of Optimization Theory and Applications 121, 203–210 (2004). https://doi.org/10.1023/B:JOTA.0000026271.19947.05
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DOI: https://doi.org/10.1023/B:JOTA.0000026271.19947.05