2,405 research outputs found
Parallel extragradient-proximal methods for split equilibrium problems
In this paper, we introduce two parallel extragradient-proximal methods for
solving split equilibrium problems. The algorithms combine the extragradient
method, the proximal method and the hybrid (outer approximation) method. The
weak and strong convergence theorems for iterative sequences generated by the
algorithms are established under widely used assumptions for equilibrium
bifunctions.Comment: 13 pages, submitte
A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities
Modifying von Neumann's alternating projections algorithm, we obtain an
alternating method for solving the recently introduced Common Solutions to
Variational Inequalities Problem (CSVIP). For simplicity, we mainly confine our
attention to the two-set CSVIP, which entails finding common solutions to two
unrelated variational inequalities in Hilbert space.Comment: Nonlinear Analysis Series A: Theory, Methods & Applications, accepted
for publicatio
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