2023
DOI: 10.1002/mma.9447
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A new inertial algorithm for equilibrium problem and a family of nonexpansive operators in Hilbert space

Abstract: In this article, we suggest and study a new inertial algorithm combining inertial extrapolation, S‐iteration process and viscosity approximation method for computing a common solution of an equilibrium problem and a family of nonexpansive operators in real Hilbert space. We provide a strong convergence result of the suggested algorithm under some simple assumptions on control sequences. Further, we compare our suggested algorithm with some existing well‐known algorithms by an analytical example. Some prominent… Show more

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