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 ε-subdifferential. We obtain a strong convergence theorem for the new algorithm.
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The first author would like to thank the Thailand Research Fund through the Royal Golden Jubilee Ph.D. Program and Naresuan University for supporting his research via Grant No. PHD/0032/2555.
Dedicated to Professor Hoang Tuy
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Yuying, T., Plubtieng, S. A New Linesearch Algorithm for Split Equilibrium Problems. Acta Math Vietnam 45, 397–409 (2020). https://doi.org/10.1007/s40306-020-00361-7
- Split equilibrium problem
- Line search rule
- Projected methods
- Strong convergence
Mathematics Subject Classification (2010)