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• W2904656566 abstract "We consider the split convex feasibility problem in a fixed point setting. Motivated by the well-known CQ-method of Byrne (2002), we define an abstract andweber transform which applies to more general operators than the metric projection. We call the result of this transform a Landweber operator. It turns out that the Landweber transform preserves many interesting properties. For example, the Landweber transform of a (quasi/firmly) nonexpansive mapping is again (quasi/firmly) nonexpansive. Moreover, the Landweber transform of a (weakly/linearly) regular mapping is again (weakly/linearly) regular. The preservation of regularity is important because it leads to (weak/linear) convergence of many CQ-type methods." @default.
• W2904656566 created "2018-12-22" @default.
• W2904656566 creator A5057413218 @default.
• W2904656566 creator A5071059710 @default.
• W2904656566 creator A5082463321 @default.
• W2904656566 date "2018-12-18" @default.
• W2904656566 modified "2023-09-27" @default.
• W2904656566 title "Weak, Strong and Linear Convergence of the CQ-Method Via the Regularity of Landweber Operators" @default.
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• W2904656566 hasPublicationYear "2018" @default.
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