TY - JOUR AU - Alvarez, F. AU - Attouch, F. PY - 2001 DA - 2001// TI - An inertial proximal method for monotone operators via discretization of a nonlinear oscillator with damping JO - Set-Valued Anal. VL - 9 UR - https://doi.org/10.1023/A:1011253113155 DO - 10.1023/A:1011253113155 ID - Alvarez2001 ER - TY - JOUR AU - Anh, P. N. AU - Phuong, N. X. PY - 2015 DA - 2015// TI - Fixed point methods for pseudomonotone variational inequalities involving strict pseudocontractions JO - Optimization VL - 64 UR - https://doi.org/10.1080/02331934.2014.906418 DO - 10.1080/02331934.2014.906418 ID - Anh2015 ER - TY - JOUR AU - Bauschke, H. H. AU - Combettes, P. L. PY - 2001 DA - 2001// TI - A weak-to-strong convergence principle for Féjer-monotone methods in Hilbert spaces JO - Math. Oper. Res. VL - 26 UR - https://doi.org/10.1287/moor.26.2.248.10558 DO - 10.1287/moor.26.2.248.10558 ID - Bauschke2001 ER - TY - BOOK AU - Bauschke, H. H. AU - Combettes, P. L. PY - 2011 DA - 2011// TI - Convex Analysis and Monotone Operator Theory in Hilbert Spaces PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4419-9467-7 DO - 10.1007/978-1-4419-9467-7 ID - Bauschke2011 ER - TY - JOUR AU - Beck, A. AU - Teboulle, M. PY - 2009 DA - 2009// TI - A fast iterative shrinkage-thresholding algorithm for linear inverse problem JO - SIAM J. Imaging Sci. VL - 2 UR - https://doi.org/10.1137/080716542 DO - 10.1137/080716542 ID - Beck2009 ER - TY - JOUR AU - Censor, Y. AU - Gibali, A. AU - Reich, S. PY - 2011 DA - 2011// TI - The subgradient extragradient method for solving variational inequalities in Hilbert spaces JO - J. Optim. Theory Appl. VL - 148 UR - https://doi.org/10.1007/s10957-010-9757-3 DO - 10.1007/s10957-010-9757-3 ID - Censor2011 ER - TY - JOUR AU - Censor, Y. AU - Gibali, A. AU - Reich, S. PY - 2011 DA - 2011// TI - Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space JO - Optim. Methods Softw. VL - 26 UR - https://doi.org/10.1080/10556788.2010.551536 DO - 10.1080/10556788.2010.551536 ID - Censor2011 ER - TY - JOUR AU - Chambole, A. AU - Dossal, C. H. PY - 2015 DA - 2015// TI - On the convergence of the iterates of the “fast shrinkage/thresholding algorithm” JO - J. Optim. Theory Appl. VL - 166 UR - https://doi.org/10.1007/s10957-015-0746-4 DO - 10.1007/s10957-015-0746-4 ID - Chambole2015 ER - TY - JOUR AU - Chan, R. H. AU - Ma, S. AU - Jang, J. F. PY - 2015 DA - 2015// TI - Inertial proximal ADMM for linearly constrained separable convex optimization JO - SIAM J. Imaging Sci. VL - 8 UR - https://doi.org/10.1137/15100463X DO - 10.1137/15100463X ID - Chan2015 ER - TY - JOUR AU - Cholamjiak, P. AU - Thong, D. V. AU - Cho, Y. J. PY - 2020 DA - 2020// TI - A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems JO - Acta Appl. Math. UR - https://doi.org/10.1007/s10440-019-00297-7 DO - 10.1007/s10440-019-00297-7 ID - Cholamjiak2020 ER - TY - JOUR AU - Dong, Q. L. AU - Cho, Y. J. AU - Zhong, L. L. AU - Rassias, T. M. PY - 2018 DA - 2018// TI - Inertial projection and contraction algorithms for variational inequalites JO - J. Glob. Optim. VL - 70 UR - https://doi.org/10.1007/s10898-017-0506-0 DO - 10.1007/s10898-017-0506-0 ID - Dong2018 ER - TY - JOUR AU - Dong, Q. L. AU - Jiang, D. AU - Cholamjiak, P. AU - Shehu, Y. PY - 2017 DA - 2017// TI - A strong convergence result involving an inertial forward–backward algorithm for monotone inclusions JO - J. Fixed Point Theory Appl. VL - 19 UR - https://doi.org/10.1007/s11784-017-0472-7 DO - 10.1007/s11784-017-0472-7 ID - Dong2017 ER - TY - BOOK AU - Goebel, K. AU - Reich, S. PY - 1984 DA - 1984// TI - Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings PB - Dekker CY - New York ID - Goebel1984 ER - TY - JOUR AU - Goldstein, A. A. PY - 1964 DA - 1964// TI - Convex programming in Hilbert space JO - Bull. Am. Math. Soc. VL - 70 UR - https://doi.org/10.1090/S0002-9904-1964-11178-2 DO - 10.1090/S0002-9904-1964-11178-2 ID - Goldstein1964 ER - TY - JOUR AU - Güler, O. PY - 1991 DA - 1991// TI - On the convergence of the proximal point algorithms for convex minimization JO - SIAM J. Control Optim. VL - 29 UR - https://doi.org/10.1137/0329022 DO - 10.1137/0329022 ID - Güler1991 ER - TY - CHAP AU - Harker, P. T. AU - Pang, J. S. ED - Allgower, E. L. ED - Georg, K. PY - 1990 DA - 1990// TI - A damped-Newton method for the linear complementarity problem BT - Computational Solution of Nonlinear Systems of Equations ID - Harker1990 ER - TY - JOUR AU - He, B. S. PY - 1997 DA - 1997// TI - A class of projection and contraction methods for monotone variational inequalities JO - Appl. Math. Optim. VL - 35 UR - https://doi.org/10.1007/s002459900037 DO - 10.1007/s002459900037 ID - He1997 ER - TY - JOUR AU - Hieu, D. V. AU - Cholamjiak, P. PY - 2020 DA - 2020// TI - Modified extragradient method with Bregman distance for variational inequalities JO - Appl. Anal. UR - https://doi.org/10.1080/00036811.2020.1757078 DO - 10.1080/00036811.2020.1757078 ID - Hieu2020 ER - TY - JOUR AU - Iiduka, H. PY - 2010 DA - 2010// TI - A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping JO - Optimization VL - 59 UR - https://doi.org/10.1080/02331930902884158 DO - 10.1080/02331930902884158 ID - Iiduka2010 ER - TY - JOUR AU - Iiduka, H. AU - Yamada, I. PY - 2009 DA - 2009// TI - A use of conjugate gradient direction for the convex optimization problem over the fixed point set of a nonexpansive mapping JO - SIAM J. Optim. VL - 19 UR - https://doi.org/10.1137/070702497 DO - 10.1137/070702497 ID - Iiduka2009 ER - TY - JOUR AU - Iiduka, H. AU - Yamada, I. PY - 2009 DA - 2009// TI - A subgradient-type method for the equilibrium problem over the fixed point set and its applications JO - Optimization VL - 58 UR - https://doi.org/10.1080/02331930701762829 DO - 10.1080/02331930701762829 ID - Iiduka2009 ER - TY - JOUR AU - Jolaoso, L. O. AU - Alakoya, T. O. AU - Taiwo, A. AU - Mewomo, O. T. PY - 2020 DA - 2020// TI - An inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert spaces JO - Optimization UR - https://doi.org/10.1080/02331934.2020.1716752 DO - 10.1080/02331934.2020.1716752 ID - Jolaoso2020 ER - TY - JOUR AU - Jolaoso, L. O. AU - Oyewole, K. O. AU - Okeke, C. C. AU - Mewomo, O. T. PY - 2018 DA - 2018// TI - A unified algorithm for solving split generalized mixed equilibrium problem and fixed point of nonspreading mapping in Hilbert space JO - Demonstr. Math. VL - 51 UR - https://doi.org/10.1515/dema-2018-0015 DO - 10.1515/dema-2018-0015 ID - Jolaoso2018 ER - TY - JOUR AU - Jolaoso, L. O. AU - Taiwo, A. AU - Alakoya, T. O. AU - Mewomo, O. T. PY - 2019 DA - 2019// TI - A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces JO - Demonstr. Math. VL - 52 UR - https://doi.org/10.1515/dema-2019-0013 DO - 10.1515/dema-2019-0013 ID - Jolaoso2019 ER - TY - JOUR AU - Jolaoso, L. O. AU - Taiwo, A. AU - Alakoya, T. O. AU - Mewomo, O. T. PY - 2020 DA - 2020// TI - A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods in a reflexive Banach space JO - J. Optim. Theory Appl. VL - 185 UR - https://doi.org/10.1007/s10957-020-01672-3 DO - 10.1007/s10957-020-01672-3 ID - Jolaoso2020 ER - TY - JOUR AU - Jolaoso, L. O. AU - Taiwo, A. AU - Alakoya, T. O. AU - Mewomo, O. T. PY - 2020 DA - 2020// TI - A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem JO - Comput. Appl. Math. VL - 39 UR - https://doi.org/10.1007/s40314-019-1014-2 DO - 10.1007/s40314-019-1014-2 ID - Jolaoso2020 ER - TY - JOUR AU - Kesornprom, S. AU - Cholamjiak, P. PY - 2019 DA - 2019// TI - Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in Hilbert spaces with applications JO - Optimization VL - 68 UR - https://doi.org/10.1080/02331934.2019.1638389 DO - 10.1080/02331934.2019.1638389 ID - Kesornprom2019 ER - TY - JOUR AU - Korpelevich, G. M. PY - 1976 DA - 1976// TI - The extragradient method for finding saddle points and other problems JO - Èkon. Mat. Metody VL - 12 ID - Korpelevich1976 ER - TY - JOUR AU - Lorenz, D. AU - Pock, T. PY - 2015 DA - 2015// TI - An inertial forward–backward algorithm for monotone inclusions JO - J. Math. Imaging Vis. VL - 51 UR - https://doi.org/10.1007/s10851-014-0523-2 DO - 10.1007/s10851-014-0523-2 ID - Lorenz2015 ER - TY - JOUR AU - Maingé, P. E. PY - 2007 DA - 2007// TI - Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces JO - J. Math. Anal. Appl. VL - 325 UR - https://doi.org/10.1016/j.jmaa.2005.12.066 DO - 10.1016/j.jmaa.2005.12.066 ID - Maingé2007 ER - TY - JOUR AU - Maingé, P. E. PY - 2008 DA - 2008// TI - A hybrid extragradient-viscosity method for monotone operators and fixed point problems JO - SIAM J. Control Optim. VL - 47 UR - https://doi.org/10.1137/060675319 DO - 10.1137/060675319 ID - Maingé2008 ER - TY - JOUR AU - Maingé, P. E. PY - 2008 DA - 2008// TI - Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization JO - Set-Valued Anal. VL - 16 UR - https://doi.org/10.1007/s11228-008-0102-z DO - 10.1007/s11228-008-0102-z ID - Maingé2008 ER - TY - JOUR AU - Maingé, P. E. PY - 2010 DA - 2010// TI - Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints JO - Eur. J. Oper. Res. VL - 205 UR - https://doi.org/10.1016/j.ejor.2010.01.042 DO - 10.1016/j.ejor.2010.01.042 ID - Maingé2010 ER - TY - JOUR AU - Marino, G. AU - Xu, H. K. PY - 2007 DA - 2007// TI - Weak and strong convergence theorems for strict pseudo-contraction in Hilbert spaces JO - J. Math. Anal. Appl. VL - 329 UR - https://doi.org/10.1016/j.jmaa.2006.06.055 DO - 10.1016/j.jmaa.2006.06.055 ID - Marino2007 ER - TY - JOUR AU - Mashreghi, J. AU - Nasri, M. PY - 2010 DA - 2010// TI - Forcing strong convergence of Korpelevich’s method in Banach spaces with its applications in game theory JO - Nonlinear Anal. VL - 72 UR - https://doi.org/10.1016/j.na.2009.10.009 DO - 10.1016/j.na.2009.10.009 ID - Mashreghi2010 ER - TY - JOUR AU - Moudafi, A. PY - 2000 DA - 2000// TI - Viscosity approximation method for fixed-points problems JO - J. Math. Anal. Appl. VL - 241 UR - https://doi.org/10.1006/jmaa.1999.6615 DO - 10.1006/jmaa.1999.6615 ID - Moudafi2000 ER - TY - JOUR AU - Moudafi, A. AU - Oliny, M. PY - 2003 DA - 2003// TI - Convergence of a splitting inertial proximal method for monotone operators JO - J. Comput. Appl. Math. VL - 155 UR - https://doi.org/10.1016/S0377-0427(02)00906-8 DO - 10.1016/S0377-0427(02)00906-8 ID - Moudafi2003 ER - TY - JOUR AU - Polyak, B. T. PY - 1964 DA - 1964// TI - Some methods of speeding up the convergence of iteration methods JO - USSR Comput. Math. Math. Phys. VL - 4 UR - https://doi.org/10.1016/0041-5553(64)90137-5 DO - 10.1016/0041-5553(64)90137-5 ID - Polyak1964 ER - TY - JOUR AU - Shehu, Y. AU - Cholamjiak, P. PY - 2019 DA - 2019// TI - Iterative method with inertial for variational inequalities in Hilbert spaces JO - Calcolo VL - 56 UR - https://doi.org/10.1007/s10092-018-0300-5 DO - 10.1007/s10092-018-0300-5 ID - Shehu2019 ER - TY - JOUR AU - Thong, D. V. AU - Cholamjiak, P. PY - 2019 DA - 2019// TI - Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions JO - Comput. Appl. Math. VL - 38 UR - https://doi.org/10.1007/s40314-019-0855-z DO - 10.1007/s40314-019-0855-z ID - Thong2019 ER - TY - JOUR AU - Thong, D. V. AU - Hieu, D. V. PY - 2018 DA - 2018// TI - Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems JO - Numer. Algorithms VL - 80 UR - https://doi.org/10.1007/s11075-018-0527-x DO - 10.1007/s11075-018-0527-x ID - Thong2018 ER - TY - JOUR AU - Thong, D. V. AU - Hieu, D. V. PY - 2018 DA - 2018// TI - Modified subgradient extragradient method for variational inequality problems JO - Numer. Algorithms VL - 79 UR - https://doi.org/10.1007/s11075-017-0452-4 DO - 10.1007/s11075-017-0452-4 ID - Thong2018 ER - TY - JOUR AU - Thong, D. V. AU - Hieu, D. V. PY - 2018 DA - 2018// TI - Modified subgradient extragdradient algorithms for variational inequalities problems and fixed point algorithms JO - Optimization VL - 67 UR - https://doi.org/10.1080/02331934.2017.1377199 DO - 10.1080/02331934.2017.1377199 ID - Thong2018 ER - TY - JOUR AU - Thong, D. V. AU - Vinh, V. N. AU - Cho, Y. J. PY - 2020 DA - 2020// TI - New strong convergence theorem of the inertial projection and contraction method for variational inequality problems JO - Numer. Algorithms VL - 84 UR - https://doi.org/10.1007/s11075-019-00755-1 DO - 10.1007/s11075-019-00755-1 ID - Thong2020 ER - TY - JOUR AU - Tian, M. AU - Jiang, B. N. PY - 2020 DA - 2020// TI - Inertial hybrid algorithm for variational inequality problems in Hilbert spaces JO - J. Inequal. Appl. VL - 2020 UR - https://doi.org/10.1186/s13660-020-2286-1 DO - 10.1186/s13660-020-2286-1 ID - Tian2020 ER - TY - JOUR AU - Zegeye, H. AU - Shahzad, N. PY - 2011 DA - 2011// TI - Convergence theorems of Mann’s type iteration method for generalized asymptotically nonexpansive mappings JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.09.018 DO - 10.1016/j.camwa.2011.09.018 ID - Zegeye2011 ER - TY - JOUR AU - Zhou, H. PY - 2008 DA - 2008// TI - Convergence theorems of fixed points for k-strict pseudo-contractions in Hilbert spaces JO - Nonlinear Anal. VL - 69 UR - https://doi.org/10.1016/j.na.2007.05.032 DO - 10.1016/j.na.2007.05.032 ID - Zhou2008 ER -