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DOI: 10.23952/jnfa.2022.35
Received November 26, 2021; Accepted July 7, 2022; Published September 19, 2022
Abstract In this paper, based on the Bregman distance, we introduce a self-adaptive method for solving a split equality problem in p-uniformly convex uniformly smooth Banach spaces. The advantage of the proposed algorithm is that the stepsize selection is self-adaptive and no prior estimation of operator norm is required. Under relatively mild conditions, we prove the strong convergence of the proposed algorithm. Finally, numerical examples are provided to verify the convergence of the algorithm.
How to Cite this Article:
M. Wang, T. Xu, L. Shi, Strong convergence of an iterative algorithm for the split equality problem in Banach spaces, J. Nonlinear Funct. Anal. 2022 (2022) 35.