| [1] |
Stampacchia, G. Variational Inequalities. Theory and Applications of Monotone Operators, Proceedings of the NATO Advanced Study Institute; Venice, Gubbio: Edizioni Odersi; 1968. pp. 102-192. |
| [2] |
Fichera, G., Sul problem elastostatico di signorini con ambigue condizioni al contorno, Atti Accad Naz Lincei Rend Cl Sci Fis Mat Natur, 34, 138-142 (1963) · Zbl 0128.18305 |
| [3] |
Alakoya, TO; Taiwo, A.; Mewomo, OT, An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings, Ann Univ Ferrara Sez VII Sci Mat, 67, 1, 1-31 (2021) · Zbl 1472.65077 |
| [4] |
Dong, Q.; Cho, Y.; Zhong, L., Inertial projection and contraction algorithms for variational inequalities, J Global Optim, 70, 687-704 (2018) · Zbl 1390.90568 |
| [5] |
He, S.; Dong, QL; Tian, H., Relaxed projection and contraction methods for solving lipschitz continuous monotone variational inequalities, Rev R Acad Cienc Exactas Fís Nat Ser A Mat RACSAM, 113, 2763-2787 (2019) |
| [6] |
Korpelevich, GM., The extragradient method for finding saddle points and other problems, Matecon, 12, 747-756 (1976) · Zbl 0342.90044 |
| [7] |
Ogwo, GN; Izuchukwu, C.; Mewomo, OT., A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem, Numer Algebra Control Optim, 12, 2, 373-393 (2022) · Zbl 07538867 · doi:10.3934/naco.2021011 |
| [8] |
Owolabi, AOE; Alakoya, TO; Taiwo, A., A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings, Numer Algebra Control Optim, 12, 2, 255-278 (2022) · Zbl 1487.65077 · doi:10.3934/naco.2021004 |
| [9] |
Ceng, LC; Petruşel, A.; Qin, X., A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems, Fixed Point Theory, 21, 1, 93-108 (2020) · Zbl 1477.47060 |
| [10] |
Ceng, LC; Petruşel, A.; Qin, X., Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints, Optimization, 70, 5-6, 1337-1358 (2021) · Zbl 1486.47105 |
| [11] |
Iusem, AN; Nasri, M., Korpelevich’s method for variational inequality problems in banach spaces, J Global Optim, 50, 1, 59-76 (2011) · Zbl 1226.49010 |
| [12] |
Ogwo, GN; Izuchukwu, C.; Mewomo, OT., Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity, Numer Algorithms, 88, 3, 1419-1456 (2021) · Zbl 07411111 · doi:10.1007/s11075-021-01081-1 |
| [13] |
Tseng, PA., A modified forward-backward splitting method for maximal monotone mapping, SIAM J Control Optim, 38, 431-446 (2000) · Zbl 0997.90062 |
| [14] |
Yang, J.; Liu, H., Strong convergence result for solving monotone variational inequalities in Hilbert space, Numer Algorithms, 80, 741-752 (2019) · Zbl 1493.47107 |
| [15] |
Yang, J., Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities, Appl Anal, 100, 5, 1067-1078 (2021) · Zbl 07328937 · doi:10.1080/00036811.2019.1634257 |
| [16] |
Censor, Y.; Gibali, A.; Reich, S., The split variational inequality problem (2010), Haifa: The Technion-Israel Institue of Technology, Haifa |
| [17] |
Censor, Y.; Gibali, A.; Reich, S., Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space, Optimization, 61, 9, 1119-1132 (2012) · Zbl 1260.65056 |
| [18] |
Cao, Y.; Guo, K., On the convergence of inertial two-subgradient extragradient method for solving variational inequality problems, Optimization, 66, 6, 1237-1253 (2020) · Zbl 07201646 |
| [19] |
Taiwo, A.; Alakoya, TO; Mewomo, OT., Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between banach spaces, Numer Algorithms, 86, 1, 1359-1389 (2021) · Zbl 07331334 |
| [20] |
Taiwo, A.; Mewomo, OT; Gibali, A., A simple strong convergent method for solving split common fixed point problems, J Nonlinear Var Anal, 5, 777-793 (2021) · Zbl 1519.47109 |
| [21] |
Polyak, BT., Some methods of speeding up the convergence of iterates methods, U.S.S.R Comput Math Phys, 4, 5, 1-17 (1964) · Zbl 0147.35301 |
| [22] |
Nesterov, Y., A method of solving a convex programming problem with convergence rate \(O(####)\), Soviet Math Doklady, 27, 372-376 (1983) · Zbl 0535.90071 |
| [23] |
Beck, A.; Teboulle, M., A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM J Imaging Sci, 2, 1, 183-202 (2009) · Zbl 1175.94009 |
| [24] |
Alakoya, TO; Owolabi, AOE; Mewomo, OT., An inertial algorithm with a self-adaptive step size for a split equilibrium problem and a fixed point problem of an infinite family of strict pseudo-contractions, J Nonlinear Var Anal, 5, 803-829 (2021) |
| [25] |
Ogwo, GN; Alakoya, TO; Mewomo, OT., Inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems, Appl Set-Valued Anal Optim, 4, 2, 185-206 (2022) |
| [26] |
Godwin, EC; Izuchukwu, C.; Mewomo, OT., An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces, Boll Unione Mat Ital, 14, 2, 379-401 (2021) · Zbl 1494.47106 |
| [27] |
Attouch, H.; Cabot, A., A convergence rate of a relaxed inertial proximal algorithm for convex minimization, Optimization, 69, 6, 1281-1312 (2020) · Zbl 1440.49014 |
| [28] |
Xia, Y.; Wang, J., A general methodology for designing globally convergent optimization neural networks, IEEE Trans Neural Netw, 9, 1331-1343 (1998) |
| [29] |
Iutzeler, F.; Hendrickx, JM., Generic online acceleration scheme for optimization algorithms via relaxation and inertia, Optim Methods Softw, 34, 2, 383-405 (2019) · Zbl 1407.65062 |
| [30] |
Alakoya, TO; Taiwo, A.; Mewomo, OT., On system of split generalised mixed equilibrium and fixed point problems for multivalued mappings with no prior knowledge of operator norm, Fixed Point Theory, 23, 1, 45-74 (2022) · Zbl 1518.65055 |
| [31] |
Jolaoso, LO; Taiwo, A.; Alakoya, TO, Strong convergence theorem for solving pseudo-monotone variational inequality problem using projection method in a reflexive banach space, J Optim Theory Appl, 185, 3, 744-766 (2020) · Zbl 07211749 |
| [32] |
Taiwo, A.; Alakoya, TO; Mewomo, OT., Strong convergence theorem for solving equilibrium problem and fixed point of relatively nonexpansive multi-valued mappings in a banach space with applications, Asian-Eur J Math, 14, 8 (2021) · Zbl 1479.47074 |
| [33] |
Bauschke, HH; Combettes, PL., A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces, Math Oper Res, 26, 248-264 (2001) · Zbl 1082.65058 |
| [34] |
Shehu, Y.; Cholamjiak, P., Iterative method with inertial for variational inequalities in Hilbert spaces, Calcolo, 56, 1 (2019) · Zbl 1482.47127 |
| [35] |
Chang, S.; Wang, L.; Qin, LJ., Split equality fixed point problem for quasi-pseudo-contractive mappings with applications, Fixed Point Theory and Appl, 2015 (2015) · Zbl 1347.49011 |
| [36] |
Bauschke, HH; Combettes, PL., Convex analysis and monotone operator theory in Hilbert spaces (2017), New York: Springer, New York · Zbl 1359.26003 |
| [37] |
Marino, G.; Xu, HK., A general iterative method for nonexpansive mapping in Hilbert spaces, J Math Anal Appl, 318, 43-52 (2006) · Zbl 1095.47038 |
| [38] |
Olona, MA; Alakoya, TO; Owolabi, AO-E, Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings, Demonstr Math, 54, 47-67 (2021) · Zbl 1468.65065 |
| [39] |
Olona, MA; Alakoya, TO; Owolabi, AO-E, Inertial algorithm for solving equilibrium variational inclusion and fixed point problems for an infinite family of strictly pseudocontractive mappings, J Nonlinear Funct Anal, 2021 (2021) |
| [40] |
He, Y., A new double projection algorithm for variational inequalities, J Comput Appl Math, 185, 1, 166-173 (2006) · Zbl 1081.65066 |
| [41] |
He, S.; Xu, HK., Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities, J Global Optim, 57, 4, 1375-1384 (2013) · Zbl 1298.47072 |
| [42] |
Saejung, S.; Yotkaew, P., Approximation of zeros of inverse strongly monotone operators in banach spaces, Nonlinear Anal, 75, 742-750 (2012) · Zbl 1402.49011 |
| [43] |
Tian, M.; Jiang, B., Inertial Haugazeau’s hybrid subgradient extragradient algorithm for variational inequality problems in banach spaces, Optimization, 70, 5-6, 987-1007 (2021) · Zbl 1467.58011 |
| [44] |
He, S.; Wu, T.; Gibali, A., Totally relaxed, self-adaptive algorithm for solving variational inequalities over the intersection of sub-level sets, Optimization, 67, 9, 1487-1504 (2018) · Zbl 1414.49009 |
| [45] |
Kraikaew, R.; Saejung, S., Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces, J Optim Theory Appl, 163, 399-412 (2014) · Zbl 1305.49012 |
| [46] |
Thong, DV; Hieu, DV., Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems, Optimization, 67, 83-102 (2018) · Zbl 1398.90184 |
| [47] |
Thong, DV; Hieu, DV., Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems, Numer Algorithms, 82, 3, 761-789 (2019) · Zbl 1441.47079 |
