Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular
DOI10.1186/1687-1812-2012-53zbMath1300.47056arXiv1112.4923OpenAlexW2591788451WikidataQ59270945 ScholiaQ59270945MaRDI QIDQ368381
Victoria Martín-Márquez, Sarah M. Moffat, Heinz H. Bauschke, Shawn Xianfu Wang
Publication date: 23 September 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4923
resolventnonexpansive mappingHilbert spaceasymptotically regular mappingmaximally monotone operatorstrongly nonexpansive mappingfirmly nonexpansive mapping
Convex programming (90C25) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings
- Monotone (nonlinear) operators in Hilbert space
- On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Image d'une somme d'opérateurs monotones et applications
- Minimax monotonicity
- Set-valued mappings and enlargement of monotone operators.
- From Hahn--Banach to monotonicity
- The composition of projections onto closed convex sets in Hilbert space is asymptotically regular
- A limit theorem for projections
- The Asymptotic Behavior of Firmly Nonexpansive Mappings
- Convex Analysis
- Convex analysis and monotone operator theory in Hilbert spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item