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DOI: 10.23952/jnfa.2023.14
Received October 31, 2022; Accepted March 17, 2023; Published April 14, 2023
Abstract. This paper investigates the linear convergence of a projection algorithm for solving the split equality mixed equilibrium problem (SEMEP). We introduce the notion of bounded linear regularity property for the SEMEP and construct several sufficient conditions to prove its linear convergence. Furthermore, the result of the linear convergence of the SEMEP is applied to split equality equilibrium problems, split equality convex minimization problems, split equality mixed variational inequality problems, and split equality variational inequality problems. Finally, numerical results are provided to verify the effectiveness of our proposed algorithm.
How to Cite this Article:
Y. Wu, S. Sun, T. Xu, M. Wang, L. Shi, Linear convergence of an iterative algorithm for solving the split equality mixed equilibrium problem, J. Nonlinear Funct. Anal. 2023 (2023) 14.