Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems
Nguyen The Vinh, Pham Thi Hoai · Mathematical Methods in the Applied Sciences · 2016
In this paper, we consider the split feasibility problem (SFP) in infinite‐dimensional Hilbert spaces and propose some subgradient extragradient‐type algorithms for finding a common element of the fixed‐point set of a strict pseudocontraction mapping and the solution set of a split feasibility problem by adopting Armijo‐like stepsize rule. We derive convergence results under mild assumptions. Our results improve some known results from the literature. Copyright © 2016 John Wiley & Sons, Ltd.