Mathematical analysis demonstrates strong convergence of inertial hybrid projection methods for mixed equilibrium problems, highlighting reduced computational steps and operator evaluations.
In this paper, we develop modified inertial hybrid projection methods to obtain common solutions of generalized mixed equilibrium problems involving monotone and Lipschitz continuous operators. The use of alternative half-space constructions reduces both projection steps and operator evaluations. Strong convergence is established under standard conditions. The proposed approach is further extended to common solutions of variational inequality problems, and numerical results are provided for illustration.
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AlNemer et al. (2026) studied this question.
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