Existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces. (English) Zbl 1245.47015
Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1--6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 301-316 (2011).
Summary: We study the existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces. For the entire collection see [Zbl 1217.00018
|47H05||Monotone operators (with respect to duality) and generalizations|
|47H09||Mappings defined by “shrinking” properties|
|47J25||Iterative procedures (nonlinear operator equations)|
|49J40||Variational methods including variational inequalities|