We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.
"Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/917857