Dynamic stepsize iteration process for solving split common fixed point problems with applications

Ajay Kumar, Balwant Singh Thakur and Mihai Postolache

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 218, issue C, 498-511

Abstract: In this paper, we study the split common fixed point problem for two nonlinear mappings in p-uniformly convex and uniformly smooth Banach spaces. We propose an algorithm which uses dynamic stepsize, it allows to be easily implemented without prior information about operator norm. We further apply our result to solve the split variational inclusion problem, equilibrium problem and convexly constrained linear inverse problem. Moreover, we provide numerical examples to verify efficiency of our algorithm.

Keywords: Banach space; Strong convergence; Split feasibility problem; Variational inclusion; Equilibrium problem (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:218:y:2024:i:c:p:498-511

DOI: 10.1016/j.matcom.2023.12.005

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