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A New Linesearch Algorithm for Split Equilibrium Problems
Tadchai Yuying
,
Somyot Plubtieng
Abstract
In this paper, we propose a new algorithm for solving a split equilibrium problem involving nonmonotone and monotone equilibrium bifunctions in real Hilbert spaces by using a shrinking projection method with a general Armijo line search rule on the $\varepsilon$-subdifferential. We obtain a strong convergence theorem for the new algorithm.