1 |
L.C. Ceng, X. Qin, Y. Shehu and J.C. Yao, Mildly inertial subgradient extragradient method for variational inequalities involving an asymptotically nonexpansive and finitely many nonexpansive mappings, Mathematics, 7 (2019), Article ID 881.
|
2 |
C.M. Elliott, Variational and quasivariational inequalities: applications to free-boundary problems (Claudio Baiocchi and antonio Capelo), SIAM Rev., 29(2) (1987), 314-315.
DOI
|
3 |
H.A. Hammad, H. Rehman and M.D. la Sen, Advanced algorithms and common solutions to variational inequalities, Symmetry, 12 (2020), Article ID 1198.
|
4 |
A.N. Iusem and B.F. Svaiter, A variant of korpelevich's method for variational inequalities with a new search strategy, Optimization, 42 (1997), 309-321.
DOI
|
5 |
G. Kassay, J. Kolumban and Z. Pales, On nash stationary points, Publ. Math. Debrecen, 54(3-4) (1999), 267-279.
DOI
|
6 |
G. Kassay, J. Kolumban and Z. Pales, Factorization of minty and stampacchia variational inequality systems, European J. Oper. Res., 143 (2002), 377-389.
DOI
|
7 |
J.K. Kim and Salahuddin, Extragradient methodsfor generalized mixed equilibrium problems and fixed point problems in Hilbert spaces, Nonlinear Funct. Anal. Appl., 22(4) (2017), 693-709.
DOI
|
8 |
Z. Liu, S. Migorski and S. Zeng, Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces, J. Differential Equ., 263 (2017), 3989-4006.
DOI
|
9 |
D. Kinderlehrer and G. Stampacchia, An introduction to variational inequalities and their applications, Classic in Applied Mathematics, Society for Industrial and Applied Mathematics, (SIAM), Philadelphia, PA, 2000.
|
10 |
G. Korpelevich, The extragradient method for finding saddle points and other problems, Ekonom. i Mat. Metody, 12(4) (1976), 747-756.
|
11 |
I. Konnov, Equilibrium models and variational inequalities, 210, Elsevier, 2007.
|
12 |
H. Rehman, P. Kumam, Y.J. Cho, Y.I. Suleiman and W. Kumam, Modified popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems, Optim. Methods Softw., 36(1) (2021), 82-113.
DOI
|
13 |
A.S. Antipin, On a method for convex programs using a symmetrical modification of the Lagrange function, Economika i Matem. Metody., 12 (1976), 1164-1173.
|
14 |
L.C. Ceng, A. Petru,sel and J.C. Yao, On mann viscosity subgradient extragradient algorithms for fixed point problems of finitely many strict pseudocontractions and variational inequalities, Mathematics, 7 (2019), Article ID 925.
|
15 |
L.C. Ceng and M. Shang, Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings, Optimization, 70 (2019), 715-740.
|
16 |
Y. Censor, A. Gibali and S. Reich, The subgradient extragradient method for solving variational inequalities in Hilbert space, J. Optim. Theory Appl., 148 (2011), 318-335.
DOI
|
17 |
P.E. Mainge, Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization, Set-Valued Anal., 16 (2008), 899-912.
DOI
|
18 |
K. Muangchoo, A Viscosity type Projection Method for Solving Pseudomonotone Variational Inequalities, Nonlinear Funct. Anal. Appl., 26(2) (2021), 347-371.
DOI
|
19 |
Y. Censor, A. Gibali and S. Reich, Extensions of korpelevich extragradient method for the variational inequality problem in euclidean space, Optimization, 61 (2012), 1119-1132.
DOI
|
20 |
Z. Liu, S. Zeng and D. Motreanu, Evolutionary problems driven by variational inequalities, J. Differential Equ., 260 (2016), 6787-6799.
DOI
|
21 |
H. Rehman, A. Gibali, P. Kumam and K. Sitthithakerngkiet, Two new extragradient methods for solving equilibrium problems, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat., 115(2) (2021), Article ID 75.
|
22 |
H. Rehman, N. Pakkaranang, A. Hussain and N. Wairojjana, A modified extra-gradient method for a family of strongly pseudomonotone equilibrium problems in real Hilbert spaces, J. Math. Comput. Sci., 22(1) (2020), 38-48.
DOI
|
23 |
K. Muangchoo, H. Rehman and P. Kumam, Two strongly convergent methods governed by pseudo-monotone bi-function in a real Hilbert space with applications, J. Appl. Math. Comput. , 67(1-2) (2021), 891-917.
DOI
|
24 |
H. Rehman, P. Kumam, Q.L. Dong and Y.J. Cho, A modified self-adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications, Math. Methods Appl. Sci., 44(5) (2020), 3527-3547.
|
25 |
H. Rehman, P. Kumam, A. Gibali and W. Kumam, Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications, J. Inequal. Appl., 2021 (2021), Article ID 63.
|
26 |
N. Wairojjana and N. Pakkaranang, Halpern Tseng's extragradient methods for solving variational inequalities involving semistrictly quasimonotone operator, Nonlinear Funct. Anal. Appl., 27(1) (2022), 121-140.
|
27 |
H.K. Xu, Another control condition in an iterative method for nonexpansive mappings, Bull. Austral. Math. Soc., 65(1) (2002), 109-113.
DOI
|
28 |
M.A. Noor, Some iterative methods for nonconvex variational inequalities, Math. Comput. Modelling, 54 (11-12) (2011), 2955-2961.
DOI
|
29 |
H. Rehman, P. Kumam, I.K. Argyros, W. Deebani and W. Kumam, Inertial extragradient method for solving a family of strongly pseudomonotone equilibrium problems in real Hilbert spaces with application in variational inequality problem, Symmetry, 12 (2020), Article ID 503.
|
30 |
G. Stampacchia, Formes bilineaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris, 258 (1964), 4413-4416.
|
31 |
P. Tseng, A modified forward-backward splitting method for maximal monotone mappings, SIAM J. Control Optim., 38(2) (2000), 431-446.
DOI
|
32 |
A. Nagurney, Network economics: a variational inequality approach, Kluwer Academic Publishers Group, Dordrecht, 1993. https://doi.org/10.1007/978-94-011-2178-1
DOI
|
33 |
H. Rehman, P. Kumam, A.B. Abubakar and Y.J. Cho, The extragradient algorithm with inertial effects extended to equilibrium problems, Comput. Appl. Math., 39(2) (2020), Article ID 100.
|
34 |
A. Moudafi, Viscosity approximation methods for fixed-points problems, J. Math. Anal. Appl., 241 (2000), 46-55.
DOI
|
35 |
H. Rehman, P. Kumam, Y.J. Cho and P. Yordsorn, Weak convergence of explicit extragradient algorithms for solving equilibrium problems, J. Inequal. Appl., 2019 (2019), Article ID 282.
|
36 |
H. Rehman, P. Kumam, W. Kumam, M. Shutaywi and W. Jirakitpuwapat, The inertial sub-gradient extra-gradient method for a class of pseudo-monotone equilibrium problems, Symmetry, 12(3) (2020), Article ID 463.
|
37 |
J. Yang and H. Liu, A modified projected gradient method for monotone variational inequalities, J. Optim. Theory Appl., 179 (1) (2018), 197-211.
DOI
|
38 |
L. Zhang, C. Fang and S. Chen, An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems, Numer. Algorithms, 79(3) (2018), 941-956.
DOI
|
39 |
H.H. Bauschke and P.L. Combettes, Convex analysis and monotone operator theory in Hilbert spaces, Springer, New York, 2011.
|
40 |
J. Yang, H. Liu and Z. Liu, Modified subgradient extragradient algorithms for solving monotone variational inequalities, Optimization, 67 (2018), 2247-2258.
DOI
|
41 |
P. Yordsorn, P. Kumam, H. Rehman and A.H. Ibrahim, A weak convergence self-adaptive method for solving pseudomonotone equilibrium problems in a real Hilbert space, Mathematics, 8 (2020), Article ID 1165.
|
42 |
T.Y. Zhao, D.Q. Wang, L.C. Ceng, L. He, C.Y. Wang and H.L. Fan, Quasi-inertial Tseng's extragradient algorithms for pseudomonotone variational inequalities and fixed point problems of quasi-nonexpansive operators, Numer. Funct. Anal. Optim., 42(1) (2021), 69-90.
DOI
|