참고문헌
- P. N. Anh, An LQ regularization method for pseudomonotone equilibrium problems on polyhedra, Vietnam J. Math. 36 (2008), no. 2, 209-228.
- P. N. Anh, A logarithmic quadratic regularization method for pseudomonotone equilibrium problems, Acta Math. Vietnam. 34 (2009), no. 2, 183-200.
- P. N. Anh, Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities, J. Optim. Theory Appl. 154 (2012), no. 1, 303-320. https://doi.org/10.1007/s10957-012-0005-x
- P. N. Anh, A hybrid extragradient method extended to fixed point problems and equilibrium problems, Optimization 62 (2013), no. 2, 271-283. https://doi.org/10.1080/02331934.2011.607497
- P. N. Anh and N. D. Hien, The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions, Fixed Point Theory Appl. 2012 (2012), 82, 16 pp. https://doi.org/10.1186/1687-1812-2012-16
- P. N. Anh and J. K. Kim, Outer approximation algorithms for pseudomonotone equilibrium problems, Comp. Math. Appl. 61 (2011), no. 9, 2588-2595. https://doi.org/10.1016/j.camwa.2011.02.052
- P. N. Anh, J. K. Kim, and J. M. Nam, Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems, J. Korean Math. Soc. 49 (2012), no. 1 187-200. https://doi.org/10.4134/JKMS.2012.49.1.187
- P. N. Anh and D. X. Son, A new method for a finite family of pseudocontractions and equilibrium problems, J. Appl. Math. Inform. 29 (2011), no. 5-6, 1179-1191. https://doi.org/10.14317/JAMI.2011.29.5_6.1179
- E. Blum and W. Oettli, From optimization and variational inequality to equilibrium problems, Math. Student 63 (1994), no. 1-4, 123-145.
- L. C. Ceng, P. Cubiotti, and J. C. Yao, An implicit iterative scheme for monotone variational inequalities and fixed point problems, Nonlinear Anal. 69 (2008), no. 8, 2445- 2457. https://doi.org/10.1016/j.na.2007.08.023
- Y. J. Cho and N. Petrot, On the System of nonlinear mixed implicit equilibrium problems in Hilbert spaces, J. Inequal. Appl. 2010 (2010), Article ID 437976, 12 pages.
- P. L. Combettes and S. A. Hirstoaga, Equilibrium programming in Hilbert spaces, J. Nonlinear Convex Anal. 6 (2005), no. 1, 117-136.
- M. Fukushima, Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems, Math. Program. 53 (1992), no. 1, Ser. A, 99-110. https://doi.org/10.1007/BF01585696
- I. V. Konnov, Combined Relaxation Methods for Variational Inequalities, Springer-Verlag, Berlin, 2000.
- I. V. Konnov, Application of the proximal point method to nonmonotone equilibrium problems, J. Optim. Theory Appl. 119 (2003), no. 2, 317-333. https://doi.org/10.1023/B:JOTA.0000005448.12716.24
- G. Mastroeni, On auxiliary principle for equilibrium problems, In: P. Daniele, F. Giannessi, and A. Maugeri (eds.), Nonconvex Optimization and its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003.
- A. Moudafi, Proximal point algorithm extended to equilibrium problem, J. Nat. Geom. 15 (1999), no. 1-2, 91-100.
- T. T. V Nguyen, J. J. Strodiot, and V. H. Nguyen, A bundle method for solving equilibrium problems, Math. Program. 116 (2009), 529-552. https://doi.org/10.1007/s10107-007-0112-x
- M. A. Noor, Auxiliary principle technique for equilibrium problems, J. Optim. Theory Appl. 122 (2004), no. 2, 371-386. https://doi.org/10.1023/B:JOTA.0000042526.24671.b2
- T. D. Quoc, P. N. Anh, and L. D. Muu, Dual extragradient algorithms extended to equilibrium problems, J. Global Optim. 52 (2012), no. 1, 139-159. https://doi.org/10.1007/s10898-011-9693-2
- S. Takahashi and W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl. 331 (2007), no. 1, 506-515. https://doi.org/10.1016/j.jmaa.2006.08.036
- S. Takahashi and M. Toyoda, Weakly convergence theorems for nonexpansive mappings and monotone mappings, J. Optim. Theory Appl. 118 (2013), 417-428.
- H. K. Xu, Viscosity approximation methods for nonexpansive mappings, J. Math. Anal. Appl. 298 (2004), no. 1, 279-291. https://doi.org/10.1016/j.jmaa.2004.04.059
피인용 문헌
- On ergodic algorithms for equilibrium problems vol.64, pp.1, 2016, https://doi.org/10.1007/s10898-015-0330-3