Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems

Convergence Theorems for Common Solutions of Split Variational Inclusion and Systems of Equilibrium Problems

“…Moreover, many authors have studied the methods and algorithms to approximate a solution of the problem (1), for instance, descent algorithms in Konnov and Ali [5], Konnov and Pinyagina [6], Charitha [7], and Lorenzo et al [8]. For more details, refer to Ceng [9], Yao et al [10][11][12], Qin et al [13,14], Hung and Muu [15], Quoc et al [16], Santos et al [17], Thuy et al [18], Rockafellar [19], Moudafi [20,21], Muu and Otelli [22], and Dong et al [23].…”

Extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces

“…Obviously, the class of pesudomonotone equilibrium problems includes that of monotone equilibrium problems. The pseudomonotone equilibrium problem was recently investigated by many authors; see [19,20,21,22,23] and the reference therein.…”

Contraction-Mapping Algorithm for the Equilibrium Problem Over the Fixed Point Set of a Nonexpansive Semigroup

“…Equilibrium problems have been generalized and extensively studied in many directions due to its importance. For example, in [2,24], the authors consider the problem of finding a common element of the solution set of equilibrium problems and the solution set of fixed point problems.…”