Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
Keyword(s):
We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mappingTand the solution sets of zero of a maximal monotone mapping and anα-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 Nonlinear Mappings in Hilbert Spaces
2010 ◽
Vol 147
(1)
◽
pp. 27-41
◽
Strong convergence theorems for maximal monotone operators and continuous pseudocontractive mappings
2016 ◽
Vol 09
(06)
◽
pp. 4409-4426
2021 ◽
Vol 31
(2)
◽
pp. 117-124