참고문헌
- P. K. Anh, Ng. Buong, and D. V. Hieu, Parallel methods for regularizing systems of equations involving accretive operators, Appl. Anal. 93 (2014), no. 10, 2136-2157. https://doi.org/10.1080/00036811.2013.872777
- P. K. Anh and C. V. Chung, Parallel hybrid methods for a finite family of relatively nonexpansive mappings, Numer. Funct. Anal. Optim. 35 (2014), no. 6, 649-664. https://doi.org/10.1080/01630563.2013.830127
-
P. K. Anh and D. V. Hieu, Parallel and sequential hybrid methods for a finite fam- ily of asymptotically quasi
$\phi$ -nonexpansive mappings, J. Appl. Math. Comput. (2014), DOI:10.1007/s12190-014-0801-6. - H. H. Bauschke, J. M. Borwein, and A. S. Lewis, The method of cyclic projections for closed convex sets in Hilbert space, Recent developments in optimization theory and nonlinear analysis (Jerusalem, 1995), 1-38, Contemp. Math., 204, Amer. Math. Soc., Providence, RI, 1997. https://doi.org/10.1090/conm/204/02620
- E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. Program. 63 (1994), no. 1-4, 123-145.
- M. Burger and B. Kaltenbacher, Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems, SIAM J. Numer. Anal. 44 (2006), no. 1, 153-182. https://doi.org/10.1137/040613779
- P. L. Combettes and S. A. Hirstoaga, Equilibrium programming in Hilbert spaces, J. Nonlinear Convex Anal. 6 (2005), no. 1, 117-136.
- A. De Cezaro, M. Haltmeier, A. Leitao, and O. Scherzer, On steepest-descent-Kaczmarz method for regularizing systems of nonlinear ill-posed equations, Appl. Math. Comput. 202 (2008), no. 2, 596-607. https://doi.org/10.1016/j.amc.2008.03.010
- K. Goebel and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Math., vol. 28, Cambridge University Press, Cambridge, 1990.
- M. Haltmeier, R. Kowar, A. Leitao, and O. Scherzer, Kaczmarz methods for regularizing nonlinear ill-posed equations, Inverse Probl. Imaging 1 (2007), no. 2, 289-298. https://doi.org/10.3934/ipi.2007.1.289
- H. Iiduka and W. Takahashi, Strong convergence theorems for nonexpansive nonself- mappings and inverse-strongly-monotone mappings, J. Convex Anal. 11 (2004), no. 1, 69-79.
- S. Saeidi, Iterative methods for equilibrium problems, variational inequalities and fixed points, Bull. Iranian Math. Soc. 36 (2010), no. 1, 117-135.
- M. V. Solodov and B. F. Svaiter, Forcing strong convergence of proximal point iterations in a Hilbert space, Math. Program. 87 (2000), no. 1, 189-202. https://doi.org/10.1007/s101079900113
- W. Takahashi, Weak and strong convergence theorems for families of nonexpansive map- pings and their applications, Ann. Univ. Mariae Curie-Sklodowska Sect. A 51 (1997), no. 2, 277-292.
- W. Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, 2000.
- S. Takahashi and W. Takahashi, Viscosity approximation methods for equilibrium prob- lems and fixed point in Hilbert spaces, J. Math. Anal. Appl. 331 (2007), no. 1, 506-515. https://doi.org/10.1016/j.jmaa.2006.08.036
- W. Takahashi and M. Toyoda, Weak convergence theorems for nonexpansive mappings and monotone mappings, J. Optim. Theory Appl. 118 (2003), no. 2, 417-428. https://doi.org/10.1023/A:1025407607560
- X. Yu, Y. Yao, and Y. C. Liou, Strong convergence of a hybrid method for pseudomono- tone variational inequalities and fixed point problem, An. St. Univ. "Ovidius" Constanta Ser. Mat. 20 (2012), no. 1, 489-504.
- C. Zhang, J. Li, and B. Liu, Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces, Comput. Math. Appl. 61 (2011), no. 2, 262-276. https://doi.org/10.1016/j.camwa.2010.11.002
피인용 문헌
- A new shrinking gradient-like projection method for equilibrium problems 2017, https://doi.org/10.1080/02331934.2017.1372437
- WEAK AND STRONG CONVERGENCE OF SUBGRADIENT EXTRAGRADIENT METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS vol.31, pp.4, 2016, https://doi.org/10.4134/CKMS.c150088
- Halpern subgradient extragradient method extended to equilibrium problems vol.111, pp.3, 2017, https://doi.org/10.1007/s13398-016-0328-9
- Parallel and cyclic hybrid subgradient extragradient methods for variational inequalities vol.28, pp.5-6, 2017, https://doi.org/10.1007/s13370-016-0473-5
- Hybrid projection methods for equilibrium problems with non-Lipschitz type bifunctions vol.40, pp.11, 2017, https://doi.org/10.1002/mma.4286
- Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings vol.53, pp.1-2, 2017, https://doi.org/10.1007/s12190-015-0980-9
- An extension of hybrid method without extrapolation step to equilibrium problems vol.13, pp.2, 2016, https://doi.org/10.3934/jimo.2017015
- New subgradient extragradient methods for common solutions to equilibrium problems vol.67, pp.3, 2017, https://doi.org/10.1007/s10589-017-9899-4
- Cyclic subgradient extragradient methods for equilibrium problems vol.5, pp.3, 2016, https://doi.org/10.1007/s40065-016-0151-3
- An Explicit Parallel Algorithm for Variational Inequalities 2017, https://doi.org/10.1007/s40840-017-0474-z
- Modified hybrid projection methods for finding common solutions to variational inequality problems vol.66, pp.1, 2017, https://doi.org/10.1007/s10589-016-9857-6