References
- Aoyama K, Iemoto S, Kohsaka F, et al. Fixed point and ergodic theorems for λ-hybrid mappings in Hilbert spaces. J. Nonlinear Convex Anal. 2010;11:335–343.
- Baillon JB. Un théoréme de type ergodique pour les contractions non linéairs dans un espaces de Hilbert [A type ergodic theorem for nonlinear contractions in a Hilbert space]. C. R. Acad. Sci. Paris Ser. A--B. 1975;280:1511–1541.
- Dotson WG Jr. On the Mann iterative process. Trans. Am. Math. Soc. 1970;149:65–73.
- Dotson WG Jr. Fixed points of quasi-nonexpansive mappings. J. Aust. Math. Soc. 1972;13:167–170.
- Eisner L, Koltracht I, Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. Numer. Math. 1992;62:305–319.
- Halpern B. Fixed points of nonexpanding maps. Bull. Am. Math. Soc. 1967;73:957–961.
- Iemoto S, Takahashi W. Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space. Nonlinear Anal. 2009;71:2082–2089.
- Xu HK. Viscosity approximation methods for nonexpansive mappings. J. Math. Anal. Appl. 2004;298:279–291.
- Yamada I. The hybrid steepest descent method for the variational inequality problem of the intersection of fixed point sets of nonexpansive mappings. In: Butnariu D, Censor Y, Reich S,editors. Inherently parallel algorithm for feasibility and optimization. Amsterdam: Elsevier; 2001. p. 473–504.
- Kreyszig E. Introductory functional analysis with applications. New York (NY): Wiley Classics Library, Wiley; 1989.
- Maingé PE. The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces. Comput. Math. Appl. 2010;59:74–79.
- Mann WR. Mean value methods in iteration. Proc. Amer. Math. Soc. 1953;4:506–510.
- Marino G, Xu HK. A general iterative method for nonexpansive mappings in Hilbert spaces. J. Math. Anal. Appl. 2006;318:43–52.
- Marino G, Cianciaruso F, Hussain N. Ergodic approximations via matrix regularization approach. Fixed Point Theory Appl. 2015;2015:1–11.
- Moudafi A. Viscosity approximation methods for fixed-points problems. J. Math. Anal. Appl. 2000;241:46–55.
- Senter HF, Dotson WG Jr. Approximating fixed points of nonexpansive mappings. Proc. Amer. Math. Soc. 1974;44:375–380.
- Shimizu T, Takahashi W. Strong convergence theorem to common fixed points of families of nonexpansive mappings. J. Math. Anal. Appl. 1997;211:71–83.
- Takahashi W, Toyoda M. Weak convergence theorems for nonexpansive mappings and monotone mappings. J. Optim. Theory Appl. 2003;118:417–428.
- Xu HK. An iterative approach to quadratic optimization. J. Optim. Theory Appl. 2003;116:659–678.