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- W4299588902 abstract "In this paper we are concerned with solving monotone inclusion problems expressed by the sum of a set-valued maximally monotone operator with a single-valued maximally monotone one and the normal cone to the nonempty set of zeros of another set-valued maximally monotone operator. Depending on the nature of the single-valued operator, we will propose two iterative penalty schemes, both addressing the set-valued operators via backward steps. The single-valued operator will be evaluated via a single forward step if it is cocoercive, and via two forward steps if it is monotone and Lipschitz continuous. The latter situation represents the starting point for dealing with complexly structured monotone inclusion problems from algorithmic point of view." @default.
- W4299588902 created "2022-10-02" @default.
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- W4299588902 date "2014-07-01" @default.
- W4299588902 modified "2023-10-17" @default.
- W4299588902 title "Backward Penalty Schemes for Monotone Inclusion Problems" @default.
- W4299588902 doi "https://doi.org/10.48550/arxiv.1407.0258" @default.
- W4299588902 hasPublicationYear "2014" @default.
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