Geodesic
A one-step Tikhonov regularization iterative scheme for solving split feasibility and fixed point problems
Minimax theory and its applications, Tome 9 (2024) no. 2
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We study split feasibility and fixed point problems for Lipschitzian pseudocontractive and nonexpansive mappings in real Hilbert spaces. Using Tikhonov’s regularization technique, we first propose an Ishikawa-type gradient-projection iterative scheme for approximating solutions to such problems and then carry out its convergence analysis. A weak convergence theorem is established, applications are derived, and several numerical examples are presented.
Mots-clés : Fixed point problem, Hilbert space, minimization problem, pseudocontractive mapping 
@article{MTA_2024_9_2_a13,
     author = {Simeon Reich and Adeolu Taiwo},
     title = {A one-step {Tikhonov} regularization iterative scheme for solving split feasibility and fixed point problems},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     zbl = {1564.47102},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a13/}
}
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Simeon Reich; Adeolu Taiwo. A one-step Tikhonov regularization iterative scheme for solving split feasibility and fixed point problems. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a13/