Searched for: subject:"Metric%5C+subregularity"
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Luke, D. Russell (author), Teboulle, Marc (author), Nguyen, Hieu Thao (author)
We present necessary conditions for monotonicity of fixed point iterations of mappings that may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed point sequences—weaker than Fejér monotonicity—are shown to imply metric subregularity. This, together with the almost averaging property recently introduced by...
journal article 2018
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Nguyen, Hieu Thao (author)
This paper proposes an algorithm for solving structured optimization problems, which covers both the backward–backward and the Douglas–Rachford algorithms as special cases, and analyzes its convergence. The set of fixed points of the corresponding operator is characterized in several cases. Convergence criteria of the algorithm in terms of...
journal article 2018