[1] Cioranescu I. Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems. Dordrecht: Kluwer, 1990
[2] Takahashi S, Takahashi W. Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space. Nonlinear Anal, 2008, 69: 1025–1033
[3] Peng J W, Yao J C. Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping. J Global Optim, 2010, 46: 331–345
[4] Zeng L C, Wu S Y, Yao J C. Generalized KKM theorem with applications to generalized minimax inequal-ities and generalized equilibrium problems. Taiwanese J Math, 2006, 10: 1497–1514
[5] Peng J W, Yao J C. A new hybrid-extragradient method for generalized mixed equilibrium problems and fixed point problems and variational inequality problems. Taiwanese J Math, 2008, 12: 1401–1433
[6] Peng J W, Yao J C. A new extragradient method for mixed equilibrium problems, fixed point problems and variational inequality problems. Math Comput Modelling, 2009, 49: 1816–1828
[7] Ceng L C, Ansari Q H, Yao J C. Viscosity approximation methods for generalized equilibrium problems and fixed point problems. J Global Optim, 2009, 43: 487–502
[8] Ceng L C, et al. An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings. J Comput Appl Math, 2009, 223: 967–974
[9] Qin X, Cho S Y, Kang S M. Strong convergence of shrinking projection methods for quasi--nonexpansive mappings and equilibrium problems. J Comput Appl Math, 2010, 234: 750–760
[10] Qin X, Cho Y J, Kang S M. Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces. J Comput Appl Math, 2009, 225: 20–30
[11] Qin X, et al. Convergence of a modified Halpern-type iteration algorithm for quasi--nonexpansive map-pings. Appl Math Lett, 2009, 22: 1051–1055
[12] Chang S S, Joseph Lee H W, Chan C K. A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization. Nonlinear Anal, 2009, 70: 3307–3319
[13] Takahashi W, Zembayashi K. Strong and weak convergence theorems for equilibrium problems and rela-tively nonexpansive mappings in Banach spaces. Nonlinear Anal, 2009, 70: 45–57
[14] Wattanawitoon K, Kumam P. Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings. Nonlinear Anal, 2009, 3: 11–12
[15] Zegeye H, Shahzad N. Strong convergence theorems for monotone mappings and relatively weak nonex-pansive mappings. Nonlinear Anal, 2009, 70: 2707–2716
[16] Wei L, Cho Y J, Zhou H. A strong convergence theorem for common fixed points of two relatively nonex-pansive mappings and its applications. J Appl Math Comput, 2009, 29: 95–103
[17] Su Y, Wang Z, Xu H K. Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Nonlinear Anal, 2009, 71: 5616–5628
[18] Kimura Y, Takahashi W. On a hybrid method for a family of relatively nonexpansive mappings in a Banach space. J Math Anal Appl, 2009, 357: 356–363
[19] Jaiboon C, Kumam P, Humphries U W. Weak convergence theorem by an extragradient method for variational inequality, equilibrium and fixed point problems. Bull Malays Math Sci Soc, 2009, 32: 173–185
[20] Liou Y C. Shrinking projection method of proximal-type for a generalied equilibrium problem, a maximal monotone operator and a pair of relatively nonexpansive mappings. Taiwanese J Math, 2010, 14: 517–540
[21] Chang S S. Shrinking projection method for solving generalized equilibrium problem, variational inequality and common fixed point in Banach spaces with applications. Science in China Series A, to appear
[22] Zegeye H, Ofoedu E U, Shahzad N. Convergence theorems for equilibrium problem, variotional inequality problem and countably infinite relatively quasi-nonexpansive mappings. Appl Math Comput, 2010, 216: 3439–3449
[23] Martinet B. Regularisation dinequations variationnelles par approximations successives. Rev Franc Autom Inform Rech Oper, 1970, 4: 154–159
[24] Kohsaka F, Takahashi W. Strong convergence of an iterative sequence for maximal monotone operators in a Banach space. Abstr Appl Anal, 2004, 3: 239–249
[25] Alber Y I. Metric and generalized projection operators in Banach spaces: Properties and applications//Kartsatos A G, ed. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type. New York: Marcel Dekker, 1996: 15–50
[26] Kamimura S, Takahashi W. Strong convergence of a proximal-type algorithm in a Banach space. SIAM J Optim, 2002, 13: 938–945
[27] Butanriu D, Reich S, ZasIavski A J. Weak convergence of orbits of nonlinear operators in reflexive Banach spaces. Numer Funct Anal Optim, 2003, 24: 489–508
[28] Takahashi Y, Hashimoto K, Kato M. On sharp uniform convexity, smoothness, and strong type, cotype inequalities. J Nonlinear Convex Anal, 2002, 3: 267–281
[29] Xu H K. Inequalities in Banach spaces with applications. Nonlinear Anal, 1991, 16: 1127–1138
[30] Cho Y J, Zhou H, Guo G. Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings. Comput Math Appl, 2004, 47: 707–717
[31] Rockfellar R T. Monotone operators and the proximal point algorithm. SIAM J Control Optim, 1976, 14: 877–898
[32] Plubtieng S, Ungchittrakool K. Approximation of common fixed points for a countable family of relatively nonexpansive mappings in a Banach space and applications. Nonlinear Anal, 2010, 72: 2896–2908
[33] Liu M, Zhang S S. A new iterative method for finding common solutions of generalized equilibrium prob-lem, fixed point problem of infinite k-strict pseudo-contractive mappings, and quasi-variational inclusion problem. Acta Mathematica Scientia, 2012, 32B(2): 499–519
[34] Jankaew E, Plubtieng S, Tepphun A. Viscosity iterative methods for common fixed points of two nonex-pansive mappings without commutativity assumption in Hilbert spaces. Acta Mathematica Scientia, 2011, 31B(2): 716–726
[35] Kim J K, Cho S Y, Qin X. Some results on generalized equilibrium problems involving strictly pseudocon-tractive mappings. Acta Mathematica Scientia, 2011, 31B(5): 2041–2057
[36] Gu F. Necessary and sufficient condition of the strong convergence for two finite families of uniformly L-Lipschitzian mappings. Acta Mathematica Scientia, 2011, 31B(5): 2058–2066 |