References
- K. Aoyama, Sh. Iemoto, F. Kohsaka and W. Takahashi. Fixed point and ergodic theorems for λ-hybrid mappings in Hilbert spaces. J. Nonlinear Convex Anal., 11(2):335–343, 2010.
- Qing bang Zhang and Cao zong Cheng. Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space. Mathematical and Computer Modelling, 48(3–4):480–485, 2008. http://dx.doi.org/10.1016/j.mcm.2007.09.014.
- F.E. Browder. Semicontractive and semiaccretive nonlinear mappings in Banach spaces. Bull. Amer. Math. Soc., 74:660–665, 1968. http://dx.doi.org/10.1090/S0002-9904-1968-11983-4.
- F.E Browder and W.V Petryshyn. Construction of fixed points of nonlinear mappings in Hilbert space. Journal of Mathematical Analysis and Applications, 20(2):197–228, 1967. http://dx.doi.org/10.1016/0022-247X(67)90085-6.
- R.E. Bruck and S. Reich. Nonexpansive projections and resolvents of accretive operators in Banach spaces. Houston J. Math., 3:459–470, 1977.
- F. Cianciaruso, G. Marino, A. Rugiano and B. Scardamaglia. On strong convergence of Halpern's method using averaged type mappings. J. Appl. Math., 2014. http://dx.doi.org/10.1155/2014/473243.
- N. Hussain, G. Marino and Afrah A. N. Abdou. On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces. Abstract and Applied Analysis, 2014, 2014. http://dx.doi.org/10.1155/2014/152530.
- Sh. Iemoto and W. Takahashi. Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space. Nonlinear Analysis: Theory, Methods & Applications, 71(12):e2082–e2089, 2009. http://dx.doi.org/10.1016/j.na.2009.03.064.
- Sh. Itoh and W. Takahashi. The common fixed point theory of singlevalued mappings and multivalued mappings. Pacific J. Math., 79(2):493–508, 1978. http://dx.doi.org/10.2140/pjm.1978.79.493.
- F. Kohsaka and W. Takahashi. Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces. Archiv der Mathematik, 91(2):166–177, 2008. http://dx.doi.org/10.1007/s00013-008-2545-8.
- Paul-Emile Maingè. Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization. Set-Valued Analysis, 16(7–8):899–912, 2008. http://dx.doi.org/10.1007/s11228-008-0102-z.
- G. Marino and Hong-Kun Xu. A general iterative method for nonexpansive mappings in Hilbert spaces. Journal of Mathematical Analysis and Applications, 318(1):43–52, 2006. http://dx.doi.org/10.1016/j.jmaa.2005.05.028.
- A. Moudafi. Krasnoselski-Mann iteration for hierarchical fixed-point problems. Inverse Problems, 23(4):1635–1640, 2007. http://dx.doi.org/10.1088/0266-5611/23/4/015.
- Z. Opial. Weak convergence of the sequence of successive approximations for nonexpansive mappings. Bulletin of the American Mathematical Society, 73:591–597, 1967. http://dx.doi.org/10.1090/S0002-9904-1967-11761-0.
- S. Saejung. Halpern's iteration in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications, 73(10):3431–3439, 2010. http://dx.doi.org/10.1016/j.na.2010.07.031.
- T. Suzuki. Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping. Fixed Point Theory and Applications, 2014, 2014. http://dx.doi.org/10.1186/1687-1812-2014-47.
- K. Wongchan and Satit Saejung. On the strong convergence of viscosity approximation process for quasinonexpansive mappings in Hilbert spaces. Abstract and Applied Analysis, 2011, 2011. http://dx.doi.org/10.1155/2011/385843.
- Hong-Kun Xu. Iterative algorithms for nonlinear operators. Journal of the London Mathematical Society, 66(1):240–256, 2002. http://dx.doi.org/10.1112/S0024610702003332.