Journal
OPTIMIZATION LETTERS
Volume 12, Issue 3, Pages 551-566Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s11590-017-1127-8
Keywords
Equilibrium problem; Monotone bifunction; Pseudomonotone bifunction; Diagonal subgradient method; Projection method
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The paper proposes two parallel and cyclic algorithms for solving systems of equilibrium problems in Hilbert spaces. The algorithms combine two methods including the diagonal subgradient method and the projection method with parallel or cyclic computations. The obtained results can be considered as improvements over several previously known methods for systems of equilibrium problems in computational steps. The algorithms have also allowed to reduce several assumptions imposed on bifunctions. The strongly convergent theorems are established under suitable conditions.
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