References
- Censor Y, Segal A. The split common fixed point problem for directed operators. J Convex Anal. 2009;16(2):587–600.
- Wang FH. A new iterative method for the split common fixed point problem in Hilbert spaces. Optimization. 2017;66(3):407–415. doi: 10.1080/02331934.2016.1274991
- Censor Y, Elfving T. A multiprojection algorithm using Bregman projections in a product space. Numer Algorithms. 1994;8:221–239. doi: 10.1007/BF02142692.
- Sahu DR. Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems. Soft Comput. 2020;24(23):17887–17911. doi: 10.1007/s00500-020-05038-9
- Byrne C. Iterative oblique projection onto convex sets and the split feasibility problem. Inverse Prob. 2002;18:441–453. doi: 10.1088/0266-5611/18/2/310
- Jirakitpuwapat W, Kumam P, Cho Y, et al. A general algorithm for the split common fixed point problem with its applications to signal processing. Mathematics. 2019;7(3):Article ID 226, 20 pp. doi: 10.3390/math7030226
- Yen LH, Muu LD, Huyen NTT. An algorithm for a class of split feasibility problems: application to a model in electricity production. Math Methods Oper Res. 2016;84:549–565. doi: 10.1007/s00186-016-0553-1
- Suparatulatorn R, Khemphet A, Charoensawan P, et al. Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem. Int J Comput Math. 2020;97(7):1431–1443. doi: 10.1080/00207160.2019.1622687
- Brooke M, Censor Y, Gibali A. Dynamic string-veraging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning. Int Tran Oper Res. 2023;30(1):181–205. doi: 10.1111/itor.v30.1
- Byrne C, Censor Y, Gibali A, et al. The split common null point problem. J Nonlinear Convex Anal. 2012;13(4):759–775.
- Ansari QH, Nimana N, Petrot N. Split hierarchical variational inequality problems and related problems. Fixed Point Theory Appl. 2014;2014:Article ID 208, 14 pp. doi: 10.1186/1687-1812-2014-208
- Abuchu JA, Ugwunnadi GC, Narain OK. Inertial Mann-type iterative method for solving split monotone variational inclusion problem with applications. J Ind Manag Optim. 2023;19(4):3020–3043. doi: 10.3934/jimo.2022075
- Moudafi A. The split common fixed-point problem for demicontractive operators. Inverse Probl. 2010;26(5):Article ID 055007, 7 pp. doi: 10.1088/0266-5611/26/5/055007
- Cui HH, Wang FH. Iterative methods for the split common fixed point problem in Hilbert spaces. Fixed Point Theory Appl. 2014;2014:Article ID 78, 8 pp. doi: 10.1186/1687-1812-2014-78
- Sun WL, Lu G, Jin YF, et al. Self-adaptive algorithms for the split problem of the quasi-pseudocontractive operators in Hilbert spaces. AIMS Math. 2022;7(5):8715–8732. doi: 10.3934/math.2022487
- Godwin EC, Taiwo A, Mewomo OT. Iterative method for solving split common fixed point problem of asymptotically demicontractive operators in Hilbert spaces. Numer Algebra Control Optim. 2023;13(2):239–257. doi: 10.3934/naco.2022005
- Eslamian M. General algorithms for split common fixed point problem of demicontractive mappings. Optimization. 2016;65(2):443–465. doi: 10.1080/02331934.2015.1053883
- Boikanyo OA. A strongly convergent algorithm for the split common fixed point problem. Appl Math Comput. 2015;265:844–853. doi: 10.1016/j.amc.2015.05.130
- Chen J, Postolache M, Zhu LJ. Iterative algorithms for split common fixed point problem involved in pseudo-contractive operators without Lipschitz assumption. Mathematics. 2019;7(9):Article ID 777, 13 pp. doi: 10.3390/math7090777.
- Chima E, Osilike M. Split common fixed point problem for class of asymptotically hemicontractive operators. J Niger Math Soc. 2019;38(3):363–390.
- Măruşter L, Măruşter Ş. Strong convergence of the Mann iteration for α-demicontractive operators. Math Comput Modell. 2011;54(9–10):2486–2492. doi: 10.1016/j.mcm.2011.06.006
- Xu HK. Iterative algorithms for nonlinear operators. J London Math Soc. 2002;66(1):240–256. doi: 10.1112/jlms.2002.66.issue-1
- Maingé PE. Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Set-valued Anal. 2008;16:899–912. doi: 10.1007/s11228-008-0102-z
- Cegielski A, Reich S, Zalas R. Regular sequences of quasi-nonexpansive operators and their applications. SIAM J Optim. 2018;28(2):1508–1532. doi: 10.1137/17M1134986
- Zhao TY, Wang DQ, Ceng LC, et al. Quasi-inertial Tseng's extragradient algorithms for pseudomonotone variational inequalities and fixed point problems of quasi-nonexpansive operators. Numer Funct Anal Optim. 2021;42(1):69–90. doi: 10.1080/01630563.2020.1867866
- Xu HY, Lan HY, Zhang F. General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality. Comput Appl Math. 2022;41(4):Article ID 190, 18 pp. doi: 10.1007/s40314-022-01890-7
- Browder FE. Semicontractive and semiaccretive nonlinear operators in Banach spaces. Bull Am Math Soc. 1968;74:660–665. doi: 10.1090/bull/1968-74-04
- Gebrie AG. Weak and strong convergence adaptive algorithms for generalized split common fixed point problems. Optimization. 2022;71(13):3711–3736. doi: 10.1080/02331934.2021.1913156
- Kitkuan D, Kumam P, Berinde V, et al. Adaptive algorithm for solving SCFPP of demicontractive operators without a priori knowledge of operator norms. Ann Univ Ovidius Math Ser. 2019;27(3):153–175.
- Osilike MO, Onah AC. Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive operators. Ann West Univ Timisoara-Math Comput Sci. 2015;53(1):151–161. doi: 10.1515/awutm-2015-0008
- Gebrie AG, Bedane DS. A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. Heliyon. 2021;7(11):Article ID e08373, 9 pp. doi: 10.1016/j.heliyon.2021.e08373