http://orcid.org/0000-0003-3325-2864
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.
- Kohsaka F, Takahashi W. Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces. Arch Math (Basel). 2008;91:166–177. doi: 10.1007/s00013-008-2545-8
- Iemoto S, Takahashi W. Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space. Nonlinear Anal. 2009;71:e2082–e2089. doi: 10.1016/j.na.2009.03.064
- Itoh S, Takahashi W. The common fixed point theory of singlevalued mappings and multivalued mappings. Pacific J Math. 1978;79:493–508. doi: 10.2140/pjm.1978.79.493
- Knopp K. Infinite sequences and series. New York (NY): Dover Publications, Inc.; 1956.
- Brézis H, Browder FE. Nonlinear ergodic theorems. Bull Amer Math Soc. 1976;82:959–961. doi: 10.1090/S0002-9904-1976-14233-4
- Cianciaruso F, Marino G, Muglia L, et al. Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces. Optimization. 2016;65:1259–1275. doi: 10.1080/02331934.2015.1091824
- Muglia L, Marino G, Hussain N, et al. Ergodic type theorems for nonspreading mappings. J Nonlinear Convex Anal. 2016;17:2071–2082.
- Combettes PL, Pennanen T. Generalized Mann iterates for constructing fixed points in Hilbert spaces. J Math Anal Appl. 2002;275:521–536. doi: 10.1016/S0022-247X(02)00221-4
- Combettes PL. Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections. IEEE Trans Image Process. 1997;6:493–506. doi: 10.1109/83.563316
- Pierra G. Decomposition through formalization in a product space. Math Program. 1984;28:96–115. doi: 10.1007/BF02612715
- Eckstein J. Splitting methods for monotone operators with applications to parallel optimization [dissertation]. Cambridge (MA): Massachusetts Institute of Technology; 1989.
- Eckstein J. The alternating step method for monotropic programming on the Connection Machine CM-2. ORSA J Comput. 1993;5:84–96. doi: 10.1287/ijoc.5.1.84
- Xu HK. Iterative algorithms for nonlinear operators. J London Math Soc. 2002;66:240–256. doi: 10.1112/S0024610702003332
- Outlaw C, Groetsch CW. Averaging iteration in a Banach space. Bull Amer Math Soc. 1969;75:430–432. doi: 10.1090/S0002-9904-1969-12207-X