References
- Wang GQ , Cheng SS . Fixed point theorems arising from seeking steady states of neural networks. Appl Math Model. 2009;33:499–506.
- Lai X , Zhang Y . Fixed point and asymptotic analysis of cellular neural networks. J Appl Math. 2012. DOI:10.1155/2012/689845
- Roberts JS . Artificial neural networks. Singapore: McGraw-Hill; 1997.
- Yao JC , Chadli O . Pseudomonotone complementarity problems and variational inequalities. In: Crouzeix JP , Haddjissas N , Schaible S , editors. Handbook of generalized convexity and monotonicity. New York (NY): Springer; 2005. p. 501–558.
- Chang SS , Joseph Lee HW , Chan CK . A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization. Nonlinear Anal. 2009;70:3307–3319.
- Nadezhkina N , Takahashi W . Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings. J Optim Theory Appl. 2006;128:191–201.
- Yao Y-H , Chen R-D , Xu H-K . Schemes for finding minimum-norm solutions of variational inequalities. Nonlinear Anal. 2010;72:3447–3456.
- Yao Y-H , Liou Y-C , Kang SM . Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method. Comput Math Appl. 2010;59:3472–3480.
- Yao Y-H , Postolache M , Liou Y-C , et al . Construction algorithms for a class of monotone variational inequalities. Optim Lett. 2016;10:1519–1528.
- Yao Y-H , Noor MA , Liou Y-C . Strong convergence of a modified extragradient method to the minimum-norm solution of variational inequalities. Abstr Appl Anal. 2012;2012.
- Yao Y-H , Noor MA , Liou Y-C , et al . Iterative algorithms for general multivalued variational inequalities. Abstr Appl Anal. 2000. DOI:10.1155/2012/768272
- Zegeye H , Shahzad N , Yao Y-H . Minimum-norm solution of variational inequality and fixed point problem in banach spaces. Optimization. 2015;64:453–471.
- Mann WR . Mean value methods in iteration. Proc Amer Math Soc. 1953;4:506–510.
- Moudafi A . Viscosity approximation methods for fixed-points problems. J Math Anal Appl. 2000;241:46–55.
- Takahashi S , Takahashi W . Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces. J Math Anal Appl. 2007;331:506–515.
- Duan P , He S . Generalized viscosity approximation methods for nonexpansive mappings. Fixed Point Theory Appl. 2014;2014:68.
- Marino G , Xu HK . A general iterative method for nonexpansive mappings in Hilbert spaces. J Math Anal Appl. 2006;318:43–52.
- Yao Y , Chen R , Yao JC . Strong convergence and certain control conditions for modified Mann iteration. Nonlinear Anal. 2008;68:1687–1693.
- Qin X , Yao JC . Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators. J Inequal Appl. 2016;2016:232.
- Kangtunyakarn A . Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems. Fixed Point Theory Appl. 2011;2011:38.
- Chang SS . Set-valued variational inclusions in Banach spaces. J Math Anal Appl. 2000;248:438–454.
- Qin X , BinDehaish BA , Cho SY . Viscosity splitting methods for variational inclusion and fixed point problems in Hilbert spaces. J Nonlinear Sci Appl. 2016;9:2789–2797.
- Zhang M . Strong convergence of a viscosity iterative algorithm in hilbert spaces. J Nonlinear Funct Anal. 2014;2014.
- Cho SY , Qin X , Wang L . Strong convergence of a splitting algorithm for treating monotone operators. Fixed Point Theory Appl. 2014;2014:94.
- Zhang SS , Joseph Lee HW , Chan CK . Algorithms of common solutions for quasi variational inclusion and fixed point problems. Appl Math Mech. 2008;29:571–581.
- Khuangsatung W , Kangtunyakarn A . Algorithm of a new variational inclusion problem and strictly pseudononspreading mapping with application. Fixed Point Theory Appl. 2014;2014:209.
- Opial Z . Weak convergence of the sequence of successive approximation of nonexpansive mappings. Bull Amer Math Soc. 1967;73:591–597.
- Takahashi W . Nonlinear functional analysis. Yokohama: Yokohama Publishers; 2000.
- Xu HK . An iterative approach to quadric optimization. J Optim Theory Appl. 2003;116:659–678.
- Browder FE , Petryshyn WV . Construction of fixed points of nonlinear mappings in Hilbert spaces. J Math Anal Appl. 1967;20:197–228.
- Kangtunyakarn A . Convergence theorem of Κ-strictly pseudo-contractive mapping and a modification of generalized equilibrium problems. Fixed Point Theory Appl. 2012;2012:89.
- Atsushiba S , Takahashi W . Strong convergence theorems for a finite family of nonexpansive mappings and applications. In: B.N. Prasad Birth Centenary Commemoration Volume, Indian J Math. 1999;41(3):435–453.
- Kangtunyakarn A , Suantai S . A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings. Nonlinear Anal. 2009;71:4448–4460.