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- W1973463148 abstract "In this paper, we consider the split feasibility problem (SFP) in infinite-dimensional Hilbert spaces, and study the relaxed extragradient methods for finding a common element of the solution set Γ of SFP and the set Fix(S) of fixed points of a nonexpansive mapping S. Combining Mann’s iterative method and Korpelevich’s extragradient method, we propose two iterative algorithms for finding an element of Fix(S)∩Γ. On one hand, for S=I, the identity mapping, we derive the strong convergence of one iterative algorithm to the minimum-norm solution of the SFP under appropriate conditions. On the other hand, we also derive the weak convergence of another iterative algorithm to an element of Fix(S)∩Γ under mild assumptions." @default.
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- W1973463148 date "2012-03-01" @default.
- W1973463148 modified "2023-10-14" @default.
- W1973463148 title "Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem" @default.
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- W1973463148 doi "https://doi.org/10.1016/j.na.2011.10.012" @default.
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